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wyszukanych pozycji: 14
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Geometric Realizations of Curvature
ISBN: 9781848167414 / Angielski / Twarda / 2012 / 264 str. Termin realizacji zamówienia: ok. 22 dni roboczych. A central area of study in Differential Geometry is the examination of the relationship between the purely algebraic properties of the Riemann curvature tensor and the underlying geometric properties of the manifold. In this book, the findings of numerous investigations in this field of study are reviewed and presented in a clear, coherent form, including the latest developments and proofs. Even though many authors have worked in this area in recent years, many fundamental questions still remain unanswered. Many studies begin by first working purely algebraically and then later progressing...
A central area of study in Differential Geometry is the examination of the relationship between the purely algebraic properties of the Riemann curvatu...
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cena:
451,27 zł |
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The Geometry of Spherical Space Form Groups
ISBN: 9789971509279 / Angielski / Twarda / 1989 / 372 str. Termin realizacji zamówienia: ok. 22 dni roboczych. |
cena:
425,33 zł |
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Geometry of Spherical Space Form Groups, the (Second Edition)
ISBN: 9789813220782 / Angielski / Twarda / 2018 / 508 str. Termin realizacji zamówienia: ok. 22 dni roboczych. |
cena:
881,79 zł |
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The Geometry of Curvature Homogeneous Pseudo-Riemannian Manifolds
ISBN: 9781860947858 / Angielski / Twarda / 2007 / 388 str. Termin realizacji zamówienia: ok. 22 dni roboczych. Pseudo-Riemannian geometry is an active research field not only in differential geometry but also in mathematical physics where the higher signature geometries play a role in brane theory. An essential reference tool for research mathematicians and physicists, this book also serves as a useful introduction to students entering this active and rapidly growing field. The author presents a comprehensive treatment of several aspects of pseudo-Riemannian geometry, including the spectral geometry of the curvature tensor, curvature homogeneity, and Stanilov-Tsankov-Videv theory.
Pseudo-Riemannian geometry is an active research field not only in differential geometry but also in mathematical physics where the higher signature g...
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cena:
731,37 zł |
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Asymptotic Formulae in Spectral Geometry
ISBN: 9781584883586 / Angielski / Twarda / 2003 / 312 str. Termin realizacji zamówienia: ok. 16-18 dni roboczych. A great deal of progress has been made recently in the field of asymptotic formulas that arise in the theory of Dirac and Laplace type operators. Asymptotic Formulae in Spectral Geometry collects these results and computations into one book. Written by a leading pioneer in the field, it focuses on the functorial and special cases methods of computing asymptotic heat trace and heat content coefficients in the heat equation. It incorporates the work of many authors into the presentation, and includes a complete bibliography that serves as a roadmap to the literature on the subject. Geometers,...
A great deal of progress has been made recently in the field of asymptotic formulas that arise in the theory of Dirac and Laplace type operators. Asym...
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cena:
907,73 zł |
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Invariance Theory : The Heat Equation and the Atiyah-Singer Index Theorem
ISBN: 9780849378744 / Angielski / Twarda / 1994 / 536 str. Termin realizacji zamówienia: ok. 16-18 dni roboczych. This text examines the Atiyah-Singer theorem using the heat equation, which gives a local formula for the index of any elliptic complex. Heat equation methods are also used to discuss Lefschetz fixed point formulas, the Gauss-Bonnet theorem for a manifold with smooth boundary, and the geometrical theorem for a manifold with smooth boundary. The book presents a careful treatment of non-self-adjoint operators, asymptotics of the heat equation and variational formulas. It also introduces spectral geometry and provides a list of asymptotic formulas. The bibliography has been complied by Herbert...
This text examines the Atiyah-Singer theorem using the heat equation, which gives a local formula for the index of any elliptic complex. Heat equation...
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cena:
1348,62 zł |
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Applications of Affine and Weyl Geometry
ISBN: 9783031012778 / Angielski / Miękka / 2013 / 172 str. Termin realizacji zamówienia: ok. 20 dni roboczych. Pseudo-Riemannian geometry is, to a large extent, the study of the Levi-Civita connection, which is the unique torsion-free connection compatible with the metric structure. There are, however, other affine connections which arise in different contexts, such as conformal geometry, contact structures, Weyl structures, and almost Hermitian geometry. In this book, we reverse this point of view and instead associate an auxiliary pseudo-Riemannian structure of neutral signature to certain affine connections and use this correspondence to study both geometries. We examine Walker structures,...
Pseudo-Riemannian geometry is, to a large extent, the study of the Levi-Civita connection, which is the unique torsion-free connection compatible with...
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cena:
134,60 zł |
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Aspects of Differential Geometry V
ISBN: 9783031013041 / Angielski / Miękka / 2021 Termin realizacji zamówienia: ok. 20 dni roboczych. Book V completes the discussion of the first four books by treating in some detail the analytic results in elliptic operator theory used previously. Chapters 16 and 17 provide a treatment of the techniques in Hilbert space, the Fourier transform, and elliptic operator theory necessary to establish the spectral decomposition theorem of a self-adjoint operator of Laplace type and to prove the Hodge Decomposition Theorem that was stated without proof in Book II. In Chapter 18, we treat the de Rham complex and the Dolbeault complex, and discuss spinors. In Chapter 19, we discuss complex geometry...
Book V completes the discussion of the first four books by treating in some detail the analytic results in elliptic operator theory used previously. C...
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cena:
211,53 zł |
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Aspects of Differential Geometry III
ISBN: 9783031012822 / Angielski / Miękka / 2017 / 145 str. Termin realizacji zamówienia: ok. 20 dni roboczych. Differential Geometry is a wide field. We have chosen to concentrate upon certain aspects that are appropriate for an introduction to the subject; we have not attempted an encyclopedic treatment. Book III is aimed at the first-year graduate level but is certainly accessible to advanced undergraduates. It deals with invariance theory and discusses invariants both of Weyl and not of Weyl type; the Chern-Gauss-Bonnet formula is treated from this point of view. Homothety homogeneity, local homogeneity, stability theorems, and Walker geometry are discussed. Ricci solitons are presented in the...
Differential Geometry is a wide field. We have chosen to concentrate upon certain aspects that are appropriate for an introduction to the subject; we ...
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cena:
173,06 zł |
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Aspects of Differential Geometry I
ISBN: 9783031012792 / Angielski / Miękka / 2015 / 140 str. Termin realizacji zamówienia: ok. 20 dni roboczych. Differential Geometry is a wide field. We have chosen to concentrate upon certain aspects that are appropriate for an introduction to the subject; we have not attempted an encyclopedic treatment. In Book I, we focus on preliminaries. Chapter 1 provides an introduction to multivariable calculus and treats the Inverse Function Theorem, Implicit Function Theorem, the theory of the Riemann Integral, and the Change of Variable Theorem. Chapter 2 treats smooth manifolds, the tangent and cotangent bundles, and Stokes' Theorem. Chapter 3 is an introduction to Riemannian geometry. The Levi-Civita...
Differential Geometry is a wide field. We have chosen to concentrate upon certain aspects that are appropriate for an introduction to the subject; we ...
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cena:
126,90 zł |
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Aspects of Differential Geometry IV
ISBN: 9783031012884 / Angielski / Miękka / 2019 Termin realizacji zamówienia: ok. 20 dni roboczych. Book IV continues the discussion begun in the first three volumes. Although it is aimed at first-year graduate students, it is also intended to serve as a basic reference for people working in affine differential geometry. It also should be accessible to undergraduates interested in affine differential geometry. We are primarily concerned with the study of affine surfaces are locally homogeneous. We discuss affine gradient Ricci solitons, affine Killing vector fields, and geodesic completeness. Opozda has classified the affine surface geometries which are locally homogeneous; we... Book IV continues the discussion begun in the first three volumes. Although it is aimed at first-year graduate students, it is also intended to ser... |
cena:
230,76 zł |
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Aspects of Differential Geometry II
ISBN: 9783031012808 / Angielski / Miękka / 2015 / 160 str. Termin realizacji zamówienia: ok. 20 dni roboczych. Differential Geometry is a wide field. We have chosen to concentrate upon certain aspects that are appropriate for an introduction to the subject; we have not attempted an encyclopedic treatment. Book II deals with more advanced material than Book I and is aimed at the graduate level. Chapter 4 deals with additional topics in Riemannian geometry. Properties of real analytic curves given by a single ODE and of surfaces given by a pair of ODEs are studied, and the volume of geodesic balls is treated. An introduction to both holomorphic and Kahler geometry is given. In Chapter 5, the basic...
Differential Geometry is a wide field. We have chosen to concentrate upon certain aspects that are appropriate for an introduction to the subject; we ...
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cena:
126,90 zł |
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The Geometry of Walker Manifolds
ISBN: 9783031012693 / Angielski / Miękka / 2009 / 180 str. Termin realizacji zamówienia: ok. 20 dni roboczych. This book, which focuses on the study of curvature, is an introduction to various aspects of pseudo-Riemannian geometry. We shall use Walker manifolds (pseudo-Riemannian manifolds which admit a non-trivial parallel null plane field) to exemplify some of the main differences between the geometry of Riemannian manifolds and the geometry of pseudo-Riemannian manifolds and thereby illustrate phenomena in pseudo-Riemannian geometry that are quite different from those which occur in Riemannian geometry, i.e. for indefinite as opposed to positive definite metrics. Indefinite metrics are important in...
This book, which focuses on the study of curvature, is an introduction to various aspects of pseudo-Riemannian geometry. We shall use Walker manifolds...
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cena:
126,90 zł |
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Spectral Geometry, Riemannian Submersions, and the Gromov-Lawson Conjecture
ISBN: 9780849382772 / Angielski / Twarda / 1999 / 296 str. Termin realizacji zamówienia: ok. 16-18 dni roboczych. This cutting-edge, standard-setting text explores the spectral geometry of Riemannian submersions. Working for the most part with the form valued Laplacian in the class of smooth compact manifolds without boundary, the authors study the relationship-if any-between the spectrum of Dp on Y and Dp on Z, given that Dp is the p form valued Laplacian and pi: Z (r) Y is a Riemannian submersion.
After providing the necessary background, including basic differential geometry and a discussion of Laplace type operators, the authors address rigidity theorems. They establish conditions that ensure... This cutting-edge, standard-setting text explores the spectral geometry of Riemannian submersions. Working for the most part with the form valued Lapl...
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cena:
881,79 zł |
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