Complex, Contact and Symmetric Manifolds
Complex, Contact and Symmetric Manifolds

Author: Oldrich Kowalski

Publisher: Springer Science & Business Media

Published: 2007-07-28

Total Pages: 277

ISBN-13: 0817644245

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* 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

Complex, Contact and Symmetric Manifolds
Complex, Contact and Symmetric Manifolds

Author: Oldrich Kowalski

Publisher: Birkhäuser

Published: 2008-11-01

Total Pages: 278

ISBN-13: 9780817670535

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* 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

Metric Rigidity Theorems on Hermitian Locally Symmetric Manifolds
Metric Rigidity Theorems on Hermitian Locally Symmetric Manifolds

Author: Ngaiming Mok

Publisher: World Scientific

Published: 1989

Total Pages: 296

ISBN-13: 9789971508005

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This monograph studies the problem of characterizing canonical metrics on Hermitian locally symmetric manifolds X of non-compact/compact types in terms of curvature conditions. The proofs of these metric rigidity theorems are applied to the study of holomorphic mappings between manifolds X of the same type. Moreover, a dual version of the generalized Frankel Conjecture on characterizing compact K„hler manifolds are also formulated.

Structures On Manifolds
Structures On Manifolds

Author: Masahiro Kon

Publisher: World Scientific

Published: 1985-02-01

Total Pages: 520

ISBN-13: 9814602809

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Contents: Riemannian ManifoldsSubmanifolds of Riemannian ManifoldsComplex ManifoldsSubmanifolds of Kaehlerian ManifoldsContact ManifoldsSubmanifolds of Sasakian Manifoldsf-StructuresProduct ManifoldsSubmersions Readership: Mathematicians. Keywords:Riemannian Manifold;Submanifold;Complex Manifold;Contact Manifold;Kaehlerian Manifold;Sasakian Manifold;Anti-Invariant Submanifold;CR Submanifold;Contact CR Submanifold;Submersion

Complex Differential Geometry
Complex Differential Geometry

Author: Fangyang Zheng

Publisher: American Mathematical Soc.

Published: 2000

Total Pages: 275

ISBN-13: 0821829602

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Discusses the differential geometric aspects of complex manifolds. This work contains standard materials from general topology, differentiable manifolds, and basic Riemannian geometry. It discusses complex manifolds and analytic varieties, sheaves and holomorphic vector bundles. It also gives a brief account of the surface classification theory.

A Brief Introduction To Symplectic And Contact Manifolds
A Brief Introduction To Symplectic And Contact Manifolds

Author: Augustin Banyaga

Publisher: World Scientific

Published: 2016-08-08

Total Pages: 178

ISBN-13: 9814696722

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The book introduces the basic notions in Symplectic and Contact Geometry at the level of the second year graduate student. It also contains many exercises, some of which are solved only in the last chapter.We begin with the linear theory, then give the definition of symplectic manifolds and some basic examples, review advanced calculus, discuss Hamiltonian systems, tour rapidly group and the basics of contact geometry, and solve problems in chapter 8. The material just described can be used as a one semester course on Symplectic and Contact Geometry.The book contains also more advanced material, suitable to advanced graduate students and researchers.