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Geometry of Pseudo-Finsler Submanifolds, Aurel Bejancu; Hani Reda Farran


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Автор: Aurel Bejancu; Hani Reda Farran
Название:  Geometry of Pseudo-Finsler Submanifolds
ISBN: 9789048156016
Издательство: Springer
Классификация: ISBN-10: 9048156017
Обложка/Формат: Paperback
Страницы: 244
Вес: 0.37 кг.
Дата издания: 05.12.2010
Серия: Mathematics and Its Applications
Язык: English
Размер: 234 x 156 x 14
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: 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, the present book is the first in the literature that is entirely de- voted to studying the geometry of submanifolds of a Finsler manifold. Our exposition is also different in many other respects. For example, we work on pseudo-Finsler manifolds where in general the Finsler metric is only non- degenerate (rather than on the particular case of Finsler manifolds where the metric is positive definite). This is absolutely necessary for physical and biological applications of the subject. Secondly, we combine in our study both the classical coordinate approach and the modern coordinate-free ap- proach. Thirdly, our pseudo-Finsler manifolds F = (M, M, F*) are such that the geometric objects under study are defined on an open submani- fold M of the tangent bundle T M, where M need not be equal to the entire TMo = TM\O(M).


Geometry of Cauchy-Riemann Submanifolds

Автор: Dragomir
Название: Geometry of Cauchy-Riemann Submanifolds
ISBN: 9811009155 ISBN-13(EAN): 9789811009150
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This book gathers contributions by respected experts on the theory of isometric immersions between Riemannian manifolds, and focuses on the geometry of CR structures on submanifolds in Hermitian manifolds. CR structures are a bundle theoretic recast of the tangential Cauchy–Riemann equations in complex analysis involving several complex variables. The book covers a wide range of topics such as Sasakian geometry, Kaehler and locally conformal Kaehler geometry, the tangential CR equations, Lorentzian geometry, holomorphic statistical manifolds, and paraquaternionic CR submanifolds.Intended as a tribute to Professor Aurel Bejancu, who discovered the notion of a CR submanifold of a Hermitian manifold in 1978, the book provides an up-to-date overview of several topics in the geometry of CR submanifolds. Presenting detailed information on the most recent advances in the area, it represents a useful resource for mathematicians and physicists alike.

Differential Geometry Of Submanifolds And Its Related Topics - Proceedings Of The International Workshop In Honor Of S Maeda`S 60Th Birthday

Автор: Maeda Sadahiro Et Al
Название: Differential Geometry Of Submanifolds And Its Related Topics - Proceedings Of The International Workshop In Honor Of S Maeda`S 60Th Birthday
ISBN: 9814566276 ISBN-13(EAN): 9789814566278
Издательство: World Scientific Publishing
Цена: 16790.00 р.
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Описание: This volume is a compilation of papers presented at the conference on differential geometry, in particular, minimal surfaces, real hypersurfaces of a non-flat complex space form, submanifolds of symmetric spaces and curve theory. It also contains new results or brief surveys in these areas. This volume provides fundamental knowledge to readers (such as differential geometers) who are interested in the theory of real hypersurfaces in a non-flat complex space form.

Differential Geometry of Submanifolds

Автор: K. Kenmotsu
Название: Differential Geometry of Submanifolds
ISBN: 3540138730 ISBN-13(EAN): 9783540138730
Издательство: Springer
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Цена: 3487.00 р.
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Total Mean Curvature and Submanifolds of Finite Type: 2nd Edition

Автор: Chen Bang-Yen
Название: Total Mean Curvature and Submanifolds of Finite Type: 2nd Edition
ISBN: 9814616699 ISBN-13(EAN): 9789814616690
Издательство: World Scientific Publishing
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Цена: 7128.00 р.
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Описание: During the last four decades, there were numerous important developments on total mean curvature and the theory of finite type submanifolds.

Semiparallel Submanifolds in Space Forms

Автор: ?lo Lumiste
Название: Semiparallel Submanifolds in Space Forms
ISBN: 1441923896 ISBN-13(EAN): 9781441923899
Издательство: Springer
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Цена: 16769.00 р.
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Описание: Quite simply, this book is the most comprehensive survey to date of the theory of semiparallel submanifolds. It begins with the necessary background material, then introduces semiparallel submanifolds and gives some characterizations for their class as well as several subclasses.

Real and Complex Submanifolds

Автор: Young Jin Suh; J?rgen Berndt; Yoshihiro Ohnita; By
Название: Real and Complex Submanifolds
ISBN: 4431552146 ISBN-13(EAN): 9784431552147
Издательство: Springer
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Цена: 23757.00 р.
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Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications

Автор: Krishan L. Duggal; Aurel Bejancu
Название: Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications
ISBN: 0792339576 ISBN-13(EAN): 9780792339571
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Written with a two-fold approach in mind, this book adds to the theory of submanifolds, the missing part of lightlike (degenerate) submanifolds of semi-Riemannian manifolds, and applies relevant mathematical results to branches of physics. It is useful to graduate students, research assistants and faculty working in geometry and physics.

Total Mean Curvature And Submanifolds Of Finite Type (2Nd Edition)

Автор: Chen Bang-Yen
Название: Total Mean Curvature And Submanifolds Of Finite Type (2Nd Edition)
ISBN: 9814616680 ISBN-13(EAN): 9789814616683
Издательство: World Scientific Publishing
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Цена: 14414.00 р.
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Описание: During the last four decades, there were numerous important developments on total mean curvature and the theory of finite type submanifolds.

Geometry of CR-Submanifolds

Автор: Aurel Bejancu
Название: Geometry of CR-Submanifolds
ISBN: 9027721947 ISBN-13(EAN): 9789027721945
Издательство: Springer
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Цена: 10760.00 р.
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Описание: Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non- trivially) in regional and theoretical economics;

Tight Polyhedral Submanifolds and Tight Triangulations

Автор: Wolfgang K?hnel
Название: Tight Polyhedral Submanifolds and Tight Triangulations
ISBN: 354060121X ISBN-13(EAN): 9783540601210
Издательство: Springer
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Цена: 3766.00 р.
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Описание: This volume is an introduction and a monograph about tight polyhedra. Particular emphasis is given to the interplay of varius special disciplines, such as geometry, elementary topology, combinatorics and convex polytopes.

Geometry of CR-Submanifolds

Автор: Aurel Bejancu
Название: Geometry of CR-Submanifolds
ISBN: 9401085455 ISBN-13(EAN): 9789401085458
Издательство: Springer
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Цена: 6986.00 р.
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Описание: 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. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non- trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can us;; Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

Higher Order Contact of Submanifolds of Homogeneous Spaces

Автор: G. R. Jensen
Название: Higher Order Contact of Submanifolds of Homogeneous Spaces
ISBN: 3540084339 ISBN-13(EAN): 9783540084334
Издательство: Springer
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Цена: 3492.00 р.
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