Foliations and Geometric Structures, Aurel Bejancu; Hani Reda Farran

Автор: Lefloch Philippe G & Ma Yue
Название: Hyperboloidal Foliation Method, The
ISBN: 9814641626 ISBN-13(EAN): 9789814641623
Издательство: World Scientific Publishing
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Цена: 9821.00 р.
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Описание: The "Hyperboloidal Foliation Method" introduced in this monograph is based on a (3 ] 1) foliation of Minkowski spacetime by hyperboloidal hypersurfaces. This method allows the authors to establish global-in-time existence results for systems of nonlinear wave equations posed on a curved spacetime. It also allows to encompass the wave equation and the Klein-Gordon equation in a unified framework and, consequently, to establish a well-posedness theory for a broad class of systems of nonlinear wave-Klein-Gordon equations. This book requires certain natural (null) conditions on nonlinear interactions, which are much less restrictive that the ones assumed in the existing literature. This theory applies to systems arising in mathematical physics involving a massive scalar field, such as the Dirac-Klein-Gordon systems.

Автор: Alvarez Lopez Jesus Et Al
Название: Foliations 2012 - Proceedings Of The International Conference
ISBN: 9814556858 ISBN-13(EAN): 9789814556859
Издательство: World Scientific Publishing
Цена: 18216.00 р.
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Описание:

This volume is a compilation of new results and surveys on the current state of some aspects of the foliation theory presented during the conference "FOLIATIONS 2012." It contains recent materials on foliation theory which is related to differential geometry, the theory of dynamical systems and differential topology. Both the original research and survey articles found in here should inspire students and researchers interested in foliation theory and the related fields to plan his/her further research.

Автор: Scardua Bruno & Morales Carlos
Название: Geometry, Dynamics And Topology Of Foliation: A First Course
ISBN: 9813207078 ISBN-13(EAN): 9789813207073
Издательство: World Scientific Publishing
Цена: 12830.00 р.
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Описание: The Geometric Theory of Foliations is one of the fields in Mathematics that gathers several distinct domains: Topology, Dynamical Systems, Differential Topology and Geometry, among others. Its great development has allowed a better comprehension of several phenomena of mathematical and physical nature. Our book contains material dating from the origins of the theory of foliations, from the original works of C Ehresmann and G Reeb, up till modern developments.In a suitable choice of topics we are able to cover material in a coherent way bringing the reader to the heart of recent results in the field. A number of theorems, nowadays considered to be classical, like the Reeb Stability Theorem, Haefliger's Theorem, and Novikov Compact leaf Theorem, are proved in the text. The stability theorem of Thurston and the compact leaf theorem of Plante are also thoroughly proved. Nevertheless, these notes are introductory and cover only a minor part of the basic aspects of the rich theory of foliations.

Автор: Krzysztof Galicki; Santiago R. Simanca
Название: Riemannian Topology and Geometric Structures on Manifolds
ISBN: 0817647422 ISBN-13(EAN): 9780817647421
Издательство: Springer
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Описание: The various contributions to this volume discuss recent advances in the areas of positive sectional curvature, Kahler and Sasakian geometry, and their interrelation to mathematical physics, especially M and superstring theory.