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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Author: S. R. Sario
Publisher: Springer
ISBN: 354037261X
Category : Mathematics
Languages : en
Pages : 518
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Book Description
Author: L. Sario
Publisher:
ISBN:
Category :
Languages : de
Pages :
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Author:
Publisher:
ISBN: 9780387083582
Category : Harmonic functions
Languages : en
Pages : 498
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Author: S. R. Sario
Publisher:
ISBN: 9783662162927
Category :
Languages : en
Pages : 524
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Author: Paul Baird
Publisher: Oxford University Press
ISBN: 9780198503620
Category : Mathematics
Languages : en
Pages : 540
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Book Description
This is an account in book form of the theory of harmonic morphisms between Riemannian manifolds.
Author: Yuri Kifer
Publisher:
ISBN:
Category :
Languages : en
Pages : 36
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Author: Leo Sario
Publisher: Springer
ISBN: 9783642482700
Category : Mathematics
Languages : en
Pages : 450
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Book Description
The purpose of the present monograph is to systematically develop a classification theory of Riemann surfaces. Some first steps will also be taken toward a classification of Riemannian spaces. Four phases can be distinguished in the chronological background: the type problem; general classification; compactifications; and extension to higher dimensions. The type problem evolved in the following somewhat overlapping steps: the Riemann mapping theorem, the classical type problem, and the existence of Green's functions. The Riemann mapping theorem laid the foundation to classification theory: there are only two conformal equivalence classes of (noncompact) simply connected regions. Over half a century of efforts by leading mathematicians went into giving a rigorous proof of the theorem: RIEMANN, WEIERSTRASS, SCHWARZ, NEUMANN, POINCARE, HILBERT, WEYL, COURANT, OSGOOD, KOEBE, CARATHEODORY, MONTEL. The classical type problem was to determine whether a given simply connected covering surface of the plane is conformally equivalent to the plane or the disko The problem was in the center of interest in the thirties and early forties, with AHLFORS, KAKUTANI, KOBAYASHI, P. MYRBERG, NEVANLINNA, SPEISER, TEICHMÜLLER and others obtaining incisive specific results. The main problem of finding necessary and sufficient conditions remains, however, unsolved.
Author: Richard Emmanuel Katz
Publisher:
ISBN:
Category : Harmonic functions
Languages : en
Pages : 94
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Book Description
Classification theory deals with the problem of deciding which Riemann surfaces or Riemannian manifolds can carry nonconstant analytic or harmonic functions with certain restrictive properties. Depending on these properties, the author defines various 'null classes' of manifolds and considers their function-theoretic and metric characteristics as well as inclusion relations between them. (Author).
Author: Dennis Shuji Hada
Publisher:
ISBN:
Category : Riemannian manifolds
Languages : en
Pages : 72
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Author: John Bradley Beaver
Publisher:
ISBN:
Category : Harmonic functions
Languages : en
Pages : 164
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