This book is about the light like (degenerate) geometry of submanifolds needed to fill a gap in the general theory of submanifolds. The growing importance of light like hypersurfaces in mathematical physics, in particular their extensive use in relativity, and very limited information available on the general theory of lightlike submanifolds, motivated the present authors, in 1990, to do collaborative research on the subject matter of this book. Based on a series of author's papers (Bejancu 3], Bejancu-Duggal 1,3], Dug gal 13], Duggal-Bejancu 1,2,3]) and several other researchers, this...
This book is about the light like (degenerate) geometry of submanifolds needed to fill a gap in the general theory of submanifolds. The growing import...
Finsler geometry is the most natural generalization of Riemannian geo metry. It started in 1918 when P. Finsler 1] wrote his thesis on curves and surfaces in what he called generalized metric spaces. Studying the geometry of those spaces (which where named Finsler spaces or Finsler manifolds) became an area of active research. Many important results on the subject have been brought together in several monographs (cf., H. Rund 3], G. Asanov 1], M. Matsumoto 6], A. Bejancu 8], P. L. Antonelli, R. S. Ingar den and M. Matsumoto 1], M. Abate and G. Patrizio 1] and R. Miron 3]) . However,...
Finsler geometry is the most natural generalization of Riemannian geo metry. It started in 1918 when P. Finsler 1] wrote his thesis on curves and sur...
The theory of foliations of manifolds was created in the forties of the last century by Ch. Ehresmann and G. Reeb ER44]. Since then, the subject has enjoyed a rapid development and thousands of papers investigating foliations have appeared. A list of papers and preprints on foliations up to 1995 can be found in Tondeur Ton97]. Due to the great interest of topologists and geometers in this rapidly ev- ving theory, many books on foliations have also been published one after the other. We mention, for example, the books written by: I. Tamura Tam76], G. Hector and U. Hirsch HH83], B. Reinhart...
The theory of foliations of manifolds was created in the forties of the last century by Ch. Ehresmann and G. Reeb ER44]. Since then, the subject has ...
Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches....
Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't s...
