Structures On Manifolds

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Release : 1985-02-01
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Book Rating : 809/5 ( reviews)

Structures On Manifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Structures On Manifolds write by Masahiro Kon. This book was released on 1985-02-01. Structures On Manifolds available in PDF, EPUB and Kindle. 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

Riemannian Topology and Geometric Structures on Manifolds

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Release : 2010-07-25
Genre : Mathematics
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Book Rating : 430/5 ( reviews)

Riemannian Topology and Geometric Structures on Manifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Riemannian Topology and Geometric Structures on Manifolds write by Krzysztof Galicki. This book was released on 2010-07-25. Riemannian Topology and Geometric Structures on Manifolds available in PDF, EPUB and Kindle. Riemannian Topology and Structures on Manifolds results from a similarly entitled conference held on the occasion of Charles P. Boyer’s 65th birthday. The various contributions to this volume discuss recent advances in the areas of positive sectional curvature, Kähler and Sasakian geometry, and their interrelation to mathematical physics, especially M and superstring theory. Focusing on these fundamental ideas, this collection presents review articles, original results, and open problems of interest.

Homogeneous Structures on Riemannian Manifolds

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Release : 1983-06-23
Genre : Mathematics
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Book Rating : 893/5 ( reviews)

Homogeneous Structures on Riemannian Manifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Homogeneous Structures on Riemannian Manifolds write by F. Tricerri. This book was released on 1983-06-23. Homogeneous Structures on Riemannian Manifolds available in PDF, EPUB and Kindle. The central theme of this book is the theorem of Ambrose and Singer, which gives for a connected, complete and simply connected Riemannian manifold a necessary and sufficient condition for it to be homogeneous. This is a local condition which has to be satisfied at all points, and in this way it is a generalization of E. Cartan's method for symmetric spaces. The main aim of the authors is to use this theorem and representation theory to give a classification of homogeneous Riemannian structures on a manifold. There are eight classes, and some of these are discussed in detail. Using the constructive proof of Ambrose and Singer many examples are discussed with special attention to the natural correspondence between the homogeneous structure and the groups acting transitively and effectively as isometrics on the manifold.

Complex Manifolds and Deformation of Complex Structures

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Release : 2012-12-06
Genre : Mathematics
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Book Rating : 903/5 ( reviews)

Complex Manifolds and Deformation of Complex Structures - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Complex Manifolds and Deformation of Complex Structures write by K. Kodaira. This book was released on 2012-12-06. Complex Manifolds and Deformation of Complex Structures available in PDF, EPUB and Kindle. This book is an introduction to the theory of complex manifolds and their deformations. Deformation of the complex structure of Riemann surfaces is an idea which goes back to Riemann who, in his famous memoir on Abelian functions published in 1857, calculated the number of effective parameters on which the deformation depends. Since the publication of Riemann's memoir, questions concerning the deformation of the complex structure of Riemann surfaces have never lost their interest. The deformation of algebraic surfaces seems to have been considered first by Max Noether in 1888 (M. Noether: Anzahl der Modulen einer Classe algebraischer Fliichen, Sitz. K6niglich. Preuss. Akad. der Wiss. zu Berlin, erster Halbband, 1888, pp. 123-127). However, the deformation of higher dimensional complex manifolds had been curiously neglected for 100 years. In 1957, exactly 100 years after Riemann's memoir, Frolicher and Nijenhuis published a paper in which they studied deformation of higher dimensional complex manifolds by a differential geometric method and obtained an important result. (A. Fr61icher and A. Nijenhuis: A theorem on stability of complex structures, Proc. Nat. Acad. Sci., U.S.A., 43 (1957), 239-241).

Structures on Manifolds

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Release : 1984
Genre : Riemann, Variétés de
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Book Rating : 157/5 ( reviews)

Structures on Manifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Structures on Manifolds write by Kentarō Yano. This book was released on 1984. Structures on Manifolds available in PDF, EPUB and Kindle.