Author: Jeffrey Stamps
Publisher: Jeffrey Stamps
ISBN: 9780914105176
Category : Science
Languages : en
Pages : 238

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Author: Dominic D. Joyce
Publisher: Oxford University Press
ISBN: 019921560X
Category : Mathematics
Languages : en
Pages : 314

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Book Description
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.

Author: Jurgen Berndt
Publisher: CRC Press
ISBN: 1482245167
Category : Mathematics
Languages : en
Pages : 494

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Book Description
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

Author: Dominic D. Joyce
Publisher: OUP Oxford
ISBN: 9780198506010
Category : Mathematics
Languages : en
Pages : 460

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Book Description
This is a combination of a graduate textbook on Reimannian holonomy groups, and a research monograph on compact manifolds with the exceptional holonomy groups G2 and Spin (7). It contains much new research and many new examples.

Author: Hidekiyo Wakakuwa
Publisher:
ISBN:
Category : Connections (Mathematics).
Languages : en
Pages : 194

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Author: André Lichnerowicz
Publisher: Noordhoff International Publishing
ISBN:
Category : Mathematics
Languages : en
Pages : 272

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Author: Wen-Yu Wen
Publisher:
ISBN:
Category :
Languages : en
Pages : 452

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Author: Simon Salamon
Publisher: Longman Scientific and Technical
ISBN:
Category : Geometry, Riemannian
Languages : en
Pages : 226

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Author: James Harris Simons
Publisher:
ISBN:
Category : Generalized spaces
Languages : en
Pages : 90

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Book Description
A classification of possible candidates for the holonomy groups of manifolds having affine connections with zero torsion discloses only groups transitive on the unit sphere in the tangent space of the manifold, except in the case where the manifold is a symm ric space of rank greater than or equal to 2. An intrinsic proof of this rather startling fact, and an algebraic generalization of the notion of a holonomy group are given with a short, intrinsic proof of the result on transitivity. Al hough only that portion of the problem which has to do wit R IEMANNIAN MANIFOLDS IS TREATED, IT IS POSSIBLE H T THE DEVICES EMPLOYED COULD BE ALTERED TO PERTAIN TO OTHER SITUATIONS. (Author).

Author: William E. Gryc
Publisher:
ISBN:
Category :
Languages : en
Pages : 180

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