Metric Rigidity Theorems on Hermitian Locally Symmetric Manifolds PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Metric Rigidity Theorems on Hermitian Locally Symmetric Manifolds PDF full book. Access full book title Metric Rigidity Theorems on Hermitian Locally Symmetric Manifolds by Ngaiming Mok. Download full books in PDF and EPUB format.
Author: Ngaiming Mok Publisher: World Scientific ISBN: 9789971508005 Category : Mathematics Languages : en Pages : 296
Book Description
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 Khler manifolds are also formulated.
Author: Ngaiming Mok Publisher: World Scientific ISBN: 9789971508005 Category : Mathematics Languages : en Pages : 296
Book Description
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 Khler manifolds are also formulated.
Author: Ngaiming Mok Publisher: World Scientific ISBN: 9789971508029 Category : Mathematics Languages : en Pages : 296
Book Description
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 Khler manifolds are also formulated.
Author: Tu Tam Nguyen Phan Publisher: ISBN: 9781267438096 Category : Languages : en Pages : 51
Book Description
We use the reflection group trick to glue manifolds with corners that are Borel-Serre compactifications of locally symmetric spaces of noncompact type and obtain aspherical manifolds. We call these piecewise locally symmetric manifolds. This class of spaces provide new examples of aspherical manifolds whose fundamental groups have the structure of a complex of groups. These manifolds typically do not admit a CAT(0) metric. We prove that any self homotopy equivalence of such manifolds is homotopic to a homeomorphism. We compute the group of self homotopy equivalences of such a manifold and show that there are examples in which this group is infinite.
Author: Werner Ballmann Publisher: Springer Science & Business Media ISBN: 1468491598 Category : Mathematics Languages : en Pages : 280
Book Description
This volume presents a complete and self-contained description of new results in the theory of manifolds of nonpositive curvature. It is based on lectures delivered by M. Gromov at the Collège de France in Paris. Therefore this book may also serve as an introduction to the subject of nonpositively curved manifolds. The latest progress in this area is reflected in the article of W. Ballmann describing the structure of manifolds of higher rank.
Author: K. Shiohama Publisher: Elsevier ISBN: 0080925782 Category : Mathematics Languages : en Pages : 536
Book Description
This volume contains the papers presented at a symposium on differential geometry at Shinshu University in July of 1988. Carefully reviewed by a panel of experts, the papers pertain to the following areas of research: dynamical systems, geometry of submanifolds and tensor geometry, lie sphere geometry, Riemannian geometry, Yang-Mills Connections, and geometry of the Laplace operator.
Author: Eduardo Garcia-Rio Publisher: Springer ISBN: 3540456295 Category : Mathematics Languages : en Pages : 178
Book Description
The subject of this book is Osserman semi-Riemannian manifolds, and in particular, the Osserman conjecture in semi-Riemannian geometry. The treatment is pitched at the intermediate graduate level and requires some intermediate knowledge of differential geometry. The notation is mostly coordinate-free and the terminology is that of modern differential geometry. Known results toward the complete proof of Riemannian Osserman conjecture are given and the Osserman conjecture in Lorentzian geometry is proved completely. Counterexamples to the Osserman conjuncture in generic semi-Riemannian signature are provided and properties of semi-Riemannian Osserman manifolds are investigated.
Author: L. Vanhecke Publisher: Springer ISBN: 9780817638504 Category : Mathematics Languages : en Pages : 277
Book Description
This book is focused on the interrelations between the curvature and the geometry of Riemannian manifolds. It contains research and survey articles based on the main talks delivered at the International Congress "Curvature in Geometry", held in Lecce, Italy, June 11-14, 2003. The congress was organized in honor of Lieven Vanhecke, as a tribute to his many contributions to mathematics. The volume describesrecent developments and research trends in several relevant topics related to Riemannian geometry, the field in which the mathematical activity of L. Vanhecke is most fruitful and inspiring. Contributors include: Blair, D.; Borisenko, A.;Calvaruso, G.;Cortes, V.;Djoric, M.;Ferrarotti, M.;Garcia?Rio, E.;Gilkey, P.;Gil?Medrano, O.;Gonzàles Dàvila, C.;Hajkova, V.; Huckleberry, A.;Kowalski, O.;Nagy, P.; Naveira, A.;Okumura, M.; Sekigawa, K.;Terng, C.L.;Tsukada, K.;and Wolf, J. This bookwill appeal to graduate students and researchers in diverse areas of geometry. TOC:Nagy, P.:Totally geodesic decomposition of Lie group * Blair, D.:Curvature of Contact Metric Manifolds * Gilkey, P.: Curvature homogeneous pseudo-Riemannian manifolds of balanced signature (p,p) which are Osserman, Ivanon?Petrova and Szabo but which are not locally homogeneous (tentative title) * Ferrarotti, M.: Lipschits cone-like trivializations of isolated singularities * Borisenko, A.: Rigidity of Hadamard manifolds * Cortes, V.:Pluriharmonic maps, t*t equations and special Kaehler manifolds * Sekigawa, K.: Goldberg conjecture and related topics * Naveira, A.:Two problems in real and complex integral geometry * Terng, C.L.: Geometry of Surfaces and Integrable Systems *Gil?Medrano, O.:Volume and energy of vector fields and distributions: variational approach and examples * Hajkova, V.; Kowalski, O.:3-dimensional Riemannian manifolds with curvature restrictions * Gonzàles Dàvila, C.: Jacobi fields on homogeneous Riemannian manifolds * Tsukada, K.: Symmetric submanifolds of Riemannian symmetric spaces * Garcia?Rio, E.:Total survatures of geodesic spheres * Calvaruso, G.: Semi-Symmetric unit tangent bundles * Wolf, J.;Huckleberry, A.:Schubert fibrations of cycle domains * Djoric, M.;Okumura, M.:On the shape operator of CR submanifolds of maximal CR dimension
Author: John M. Lee Publisher: Springer ISBN: 3319917552 Category : Mathematics Languages : en Pages : 437
Book Description
This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four most fundamental theorems relating curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet’s Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.
Author: Werner Müller Publisher: Springer ISBN: Category : Mathematics Languages : en Pages : 192
Book Description
The manifolds investigated in this monograph are generalizations of (XX)-rank one locally symmetric spaces. In the first part of the book the author develops spectral theory for the differential Laplacian operator associated to the so-called generalized Dirac operators on manifolds with cusps of rank one. This includes the case of spinor Laplacians on (XX)-rank one locally symmetric spaces. The time-dependent approach to scattering theory is taken to derive the main results about the spectral resolution of these operators. The second part of the book deals with the derivation of an index formula for generalized Dirac operators on manifolds with cusps of rank one. This index formula is used to prove a conjecture of Hirzebruch concerning the relation of signature defects of cusps of Hilbert modular varieties and special values of L-series. This book is intended for readers working in the field of automorphic forms and analysis on non-compact Riemannian manifolds, and assumes a knowledge of PDE, scattering theory and harmonic analysis on semisimple Lie groups.
Author: Ngaiming Mok
Author: Ngaiming Mok
Author: Ngaiming Mok
Author: Tu Tam Nguyen Phan
Author: Werner Ballmann
Author: K. Shiohama
Author: Eduardo Garcia-Rio
Author: L. Vanhecke
Author: Armand Borel
Author: John M. Lee
Author: Werner Müller