Classification Theory of Riemannian Manifolds PDF Download
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Author: S. R. Sario
Publisher: Springer
ISBN: 354037261X
Category : Mathematics
Languages : en
Pages : 518
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Book Description
Author: S. R. Sario
Publisher: Springer
ISBN: 354037261X
Category : Mathematics
Languages : en
Pages : 518
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Book Description
Author: John Bradley Beaver
Publisher:
ISBN:
Category : Harmonic functions
Languages : en
Pages : 164
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Book Description
Author: Ye-lin Ou
Publisher: World Scientific
ISBN: 9811212392
Category : Mathematics
Languages : en
Pages : 541
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Book Description
The book aims to present a comprehensive survey on biharmonic submanifolds and maps from the viewpoint of Riemannian geometry. It provides some basic knowledge and tools used in the study of the subject as well as an overall picture of the development of the subject with most up-to-date important results.Biharmonic submanifolds are submanifolds whose isometric immersions are biharmonic maps, thus biharmonic submanifolds include minimal submanifolds as a subclass. Biharmonic submanifolds also appeared in the study of finite type submanifolds in Euclidean spaces.Biharmonic maps are maps between Riemannian manifolds that are critical points of the bienergy. They are generalizations of harmonic maps and biharmonic functions which have many important applications and interesting links to many areas of mathematics and theoretical physics.Since 2000, biharmonic submanifolds and maps have become a vibrant research field with a growing number of researchers around the world, with many interesting results have been obtained.This book containing basic knowledge, tools for some fundamental problems and a comprehensive survey on the study of biharmonic submanifolds and maps will be greatly beneficial for graduate students and beginning researchers who want to study the subject, as well as researchers who have already been working in the field.
Author:
Publisher:
ISBN: 9780387083582
Category : Harmonic functions
Languages : en
Pages : 498
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Book Description
Author: L. Sario
Publisher:
ISBN:
Category :
Languages : de
Pages :
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Author: Leo Sario
Publisher:
ISBN:
Category :
Languages : en
Pages : 9
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Book Description
The following theories were systematically developed: (1) Harmonic classification theory of Riemannian manifolds, (2) Quasiharmonic classification theory of Riemannian manifolds, (3) Theory of bounded biharmonic functions of Riemannian manifolds, (4) Dirichlet finite biharmonic functions, (5) Bounded Dirichlet finite biharmonic functions, (6) Riesz representation of biharmonic functions, (7) Green's functions of simply supported bodies, (8) Green's functions of clamped bodies. These theories were published in the 83 papers listed in Sections II-IV, and the research monograph described in Section V. (Author).
Author:
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Category : Military research
Languages : en
Pages : 652
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Book Description
Author: Victor Anandam
Publisher: Springer Science & Business Media
ISBN: 3642213995
Category : Mathematics
Languages : en
Pages : 152
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Book Description
Random walks, Markov chains and electrical networks serve as an introduction to the study of real-valued functions on finite or infinite graphs, with appropriate interpretations using probability theory and current-voltage laws. The relation between this type of function theory and the (Newton) potential theory on the Euclidean spaces is well-established. The latter theory has been variously generalized, one example being the axiomatic potential theory on locally compact spaces developed by Brelot, with later ramifications from Bauer, Constantinescu and Cornea. A network is a graph with edge-weights that need not be symmetric. This book presents an autonomous theory of harmonic functions and potentials defined on a finite or infinite network, on the lines of axiomatic potential theory. Random walks and electrical networks are important sources for the advancement of the theory.
Author: Weihuan Chen
Publisher: World Scientific
ISBN: 9789810244767
Category : Mathematics
Languages : en
Pages : 368
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Book Description
http://www.worldscientific.com/worldscibooks/10.1142/4569
Author: Weihuan Chen
Publisher: World Scientific
ISBN: 9814492035
Category : Mathematics
Languages : en
Pages : 361
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Book Description
Contents:Progress in Affine Differential Geometry — Problem List and Continued Bibliography (T Binder & U Simon)On the Classification of Timelike Bonnet Surfaces (W H Chen & H Z Li)Affine Hyperspheres with Constant Affine Sectional Curvature (F Dillen et al.)Geometric Properties of the Curvature Operator (P Gilkey)On a Question of S S Chern Concerning Minimal Hypersurfaces of Spheres (I Hiric( & L Verstraelen)Parallel Pure Spinors on Pseudo-Riemannian Manifolds (I Kath)Twistorial Construction of Spacelike Surfaces in Lorentzian 4-Manifolds (F Leitner)Nirenberg's Problem in 90's (L Ma)A New Proof of the Homogeneity of Isoparametric Hypersurfaces with (g,m) = (6, 1) (R Miyaoka)Harmonic Maps and Negatively Curved Homogeneous Spaces (S Nishikawa)Biharmonic Morphisms Between Riemannian Manifolds (Y L Ou)Intrinsic Properties of Real Hypersurfaces in Complex Space Forms (P J Ryan)On the Nonexistence of Stable Minimal Submanifolds in Positively Pinched Riemannian Manifolds (Y B Shen & H Q Xu)Geodesic Mappings of the Ellipsoid (K Voss)η-Invariants and the Poincaré-Hopf Index Formula (W Zhang)and other papers Readership: Researchers in differential geometry and topology. Keywords:Conference;Proceedings;Berlin (Germany);Beijing (China);Geometry;Topology;Submanifolds X;Differential Geometry;Dedication
