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Riemannian Geometry and Holonomy Groups

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Author :
Release : 1989
Genre : Geometry, Riemannian
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Riemannian Geometry and Holonomy Groups by : Simon Salamon

Download or read book Riemannian Geometry and Holonomy Groups written by Simon Salamon. This book was released on 1989. Available in PDF, EPUB and Kindle. Book excerpt:

Riemannian Holonomy Groups and Calibrated Geometry

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Author :
Release : 2007
Genre : Mathematics
Kind : eBook
Book Rating : 60X/5 ( reviews)

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Book Synopsis Riemannian Holonomy Groups and Calibrated Geometry by : Dominic D. Joyce

Download or read book Riemannian Holonomy Groups and Calibrated Geometry written by Dominic D. Joyce. This book was released on 2007. Available in PDF, EPUB and Kindle. Book excerpt: Riemannian Holonomy Groups and Calibrated Geometry covers an exciting and active area of research at the crossroads of several different fields in mathematics and physics. Drawing on the author's previous work the text has been written to explain the advanced mathematics involved simply and clearly to graduate students in both disciplines.

Holonomy Groups in Riemannian Geometry

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Author :
Release : 2012
Genre : Geometry, Riemannian
Kind : eBook
Book Rating : 460/5 ( reviews)

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Book Synopsis Holonomy Groups in Riemannian Geometry by : Andrew Clarke

Download or read book Holonomy Groups in Riemannian Geometry written by Andrew Clarke. This book was released on 2012. Available in PDF, EPUB and Kindle. Book excerpt:

Submanifolds and Holonomy

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Author :
Release : 2016-02-22
Genre : Mathematics
Kind : eBook
Book Rating : 167/5 ( reviews)

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Book Synopsis Submanifolds and Holonomy by : Jurgen Berndt

Download or read book Submanifolds and Holonomy written by Jurgen Berndt. This book was released on 2016-02-22. Available in PDF, EPUB and Kindle. Book excerpt: Submanifolds and Holonomy, Second Edition explores recent progress in the submanifold geometry of space forms, including new methods based on the holonomy of the normal connection. This second edition reflects many developments that have occurred since the publication of its popular predecessor.New to the Second EditionNew chapter on normal holonom

Recent Developments in Pseudo-Riemannian Geometry

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Author :
Release : 2008
Genre : Mathematics
Kind : eBook
Book Rating : 517/5 ( reviews)

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Book Synopsis Recent Developments in Pseudo-Riemannian Geometry by : Dmitriĭ Vladimirovich Alekseevskiĭ

Download or read book Recent Developments in Pseudo-Riemannian Geometry written by Dmitriĭ Vladimirovich Alekseevskiĭ. This book was released on 2008. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to and survey of recent developments in pseudo-Riemannian geometry, including applications in mathematical physics, by leading experts in the field. Topics covered are: Classification of pseudo-Riemannian symmetric spaces Holonomy groups of Lorentzian and pseudo-Riemannian manifolds Hypersymplectic manifolds Anti-self-dual conformal structures in neutral signature and integrable systems Neutral Kahler surfaces and geometric optics Geometry and dynamics of the Einstein universe Essential conformal structures and conformal transformations in pseudo-Riemannian geometry The causal hierarchy of spacetimes Geodesics in pseudo-Riemannian manifolds Lorentzian symmetric spaces in supergravity Generalized geometries in supergravity Einstein metrics with Killing leaves The book is addressed to advanced students as well as to researchers in differential geometry, global analysis, general relativity and string theory. It shows essential differences between the geometry on manifolds with positive definite metrics and on those with indefinite metrics, and highlights the interesting new geometric phenomena, which naturally arise in the indefinite metric case. The reader finds a description of the present state of the art in the field as well as open problems, which can stimulate further research.

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