Complex, Contact and Symmetric Manifolds: In Honor of L. Vanhecke

ISBN-13: 9780817638504 / Angielski / Twarda / 2004 / 278 str.

Oldrich Kowalski;Emilio E. Musso;Domenico Perrone

Opis

* Contains research and survey articles by well known and respected mathematicians on recent developments and research trends in differential geometry and topology * Dedicated in honor of Lieven Vanhecke, as a tribute to his many fruitful and inspiring contributions to these fields * Papers include all necessary introductory and contextual material to appeal to non-specialists, as well as researchers and differential geometers

Spis treści

* Preface * Acknowledgments * Authors’ Addresses * List of Participants * D.E. Blair: Curvature of Contact Metric Manifolds * E. Boeckx: A case for curvature: the unit tangent bundle * A.A. Borisenko: Convex hypersurfaces in Hadamard manifolds * G. Calvaruso: Contact metric geometry of the unit tangent sphere bundle * V. Cortés and L. Schäfer: Topological-antitopological fusion equations, pluriharmonic maps and special Kähler manifolds * P. de Bartolomeis: Z2 and Z-Deformation Theory for Holomorphic and Symplectic Manifolds * J.C. Díaz-Ramos, E. García-Río and L. Hervella: Total scalar curvatures of geodesic spheres and of boundaries of geodesic disks * M. Djoric: Commutative condition on the second fundamental form of CR submanifolds of maximal CR dimension of a Kähler manifold * C. Dunn and P.B. Gilkey: Curvature homogeneous pseudo-Riemannian manifolds which are not locally homogeneous * M. Fernández and V. Muñoz: The Geography of Non-formal Manifolds * A. Fujiki and M. Pontecorvo: On Hermitian geometry of complex surfaces * O. Gil-Medrano: Unit vector fields that are critical points of the volume and of the energy: characterization and examples * O. Kowalski and Z. Vlášek: On 3-dimensional Riemannian manifolds with prescribed Ricci eigenvalues * A.M. Naveira: Two problems in real and complex integral geometry * T. Oguro and K. Sekigawa: Notes on the Goldberg conjecture in dimension four * C-L. Terng and E. Wang: Curved flats, exterior differential systems, and conservation laws * K. Tsukada: Symmetric submanifolds of Riemannian symmetric spaces and symmetric R-spaces * J.A. Wolf: Complex forms of Quaternionic SymmetricSpaces

Blurb

This volume contains research and survey articles by well known and respected mathematicians on differential geometry and topology that have been collected and dedicated in honor of Lieven Vanhecke, as a tribute to his many fruitful and inspiring contributions to these fields.

The papers, all written with the necessary introductory and contextual material, describe recent developments and research trends in spectral geometry, the theory of geodesics and curvature, contact and symplectic geometry, complex geometry, algebraic topology, homogeneous and symmetric spaces, and various applications of partial differential equations and differential systems to geometry. One of the key strengths of these articles is their appeal to non-specialists, as well as researchers and differential geometers.

Contributors: D.E. Blair; E. Boeckx; A.A. Borisenko; G. Calvaruso; V. Cortés; P. de Bartolomeis; J.C. Díaz-Ramos; M. Djoric; C. Dunn; M. Fernández; A. Fujiki; E. García-Río; P.B. Gilkey; O. Gil-Medrano; L. Hervella; O. Kowalski; V. Muñoz; M. Pontecorvo; A.M. Naveira; T. Oguro; L. Schäfer; K. Sekigawa; C-L. Terng; K. Tsukada; Z. Vlášek; E. Wang; and J.A. Wolf.