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Title Applications of affine and Weyl geometry [electronic resource] / Eduardo García-Río ... [et al.].
Publication Info. San Rafael, Calif. (1537 Fourth Street, San Rafael, CA 94901 USA) : Morgan & Claypool, c2013.
Location Call No. Status Notes
 Libraries Electronic Books  ELECTRONIC BOOKS-DDA    AVAIL. ONLINE
Description 1 online resource.
Series Synthesis digital library of engineering and computer science.
Synthesis lectures on mathematics and statistics ; # 13. 1938-1751
Note Part of: Synthesis digital library of engineering and computer science.
Title from PDF t.p. (viewed on June 15, 2013).
Series from website.
Bibliography Includes bibliographical references (p. 129-145) and index.
Contents 1. Basic notions and concepts -- 1.1 Basic manifold theory -- 1.2 Connections -- 1.3 Curvature models in the real setting -- 1.4 Kähler geometry -- 1.5 Curvature decompositions -- 1.6 Walker structures -- 1.7 Metrics on the cotangent bundle -- 1.8 Self-dual Walker metrics -- 1.9 Recurrent curvature -- 1.10 Constant curvature -- 1.11 The spectral geometry of the curvature tensor --
2. The geometry of deformed Riemannian extensions -- 2.1 Basic notational conventions -- 2.2 Examples of affine Osserman Ivanov-Petrova manifolds -- 2.3 The spectral geometry of the curvature tensor of affine surfaces -- 2.4 Homogeneous 2-dimensional affine surfaces -- 2.5 The spectral geometry of the curvature tensor of deformed Riemannian extensions --
3. The geometry of modified Riemannian extensions -- 3.1 Four-dimensional Osserman manifolds and models -- 3.2 Para-Kähler manifolds of constant para-holomorphic sectional curvature -- 3.3 Higher-dimensional Osserman metrics -- 3.4 Osserman metrics with non-trivial Jordan normal form -- 3.5 (Semi) para-complex Osserman manifolds --
4. (para)-Kähler-Weyl manifolds -- 4.1 Notational conventions -- 4.2 (para)-Kähler-Weyl structures if m > 6 -- 4.3 (para)-Kähler-Weyl structures if m = 4 -- 4.4 (para)-Kähler-Weyl lie groups if m = 4 -- 4.5 (para)-Kähler-Weyl tensors if m = 4 -- 4.6 Realizability of (para)-Kähler-Weyl tensors if m = 4 --
Bibliography -- Authors' biographies -- Index.
Indexed In: Compendex
INSPEC
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Reproduction Electronic reproduction. Perth, W.A. Available via World Wide Web.
Subject Geometry, Affine.
Weyl groups.
Kählerian structures.
Geometry, Riemannian.
curvature decomposition
deformed Riemannian extension
Kähler-Weyl geometry
modified Riemannian extension
Riemannian extension
spectral geometry of the curvature operator
Added Author García-Río, Eduardo.
Ebooks Corporation
Related To Print version: 9781608457595
ISBN 9781608457601 (electronic bk.)
1608457605 (electronic bk.)
9781608457595 (pbk.)
Standard No. 10.2200/S00502ED1V01Y201305MAS013 doi
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