By Jurgen Berndt,Sergio Console,Carlos Enrique Olmos

ISBN-10: 1482245159

ISBN-13: 9781482245158

Submanifolds and Holonomy, moment Edition explores contemporary development within the submanifold geometry of house types, together with new tools in line with the holonomy of the traditional connection. This moment version displays many advancements that experience happened because the e-book of its well known predecessor.

New to the second one Edition

  • New bankruptcy on basic holonomy of complicated submanifolds

  • New bankruptcy at the Berger–Simons holonomy theorem

  • New bankruptcy at the skew-torsion holonomy system

  • New bankruptcy on polar activities on symmetric areas of compact type

  • New bankruptcy on polar activities on symmetric areas of noncompact type

  • New part at the life of slices and relevant orbits for isometric actions

  • New subsection on maximal absolutely geodesic submanifolds

  • New subsection at the index of symmetric spaces

The booklet makes use of the relief of codimension, Moore’s lemma for neighborhood splitting, and the traditional holonomy theorem to deal with the geometry of submanifolds. It offers a unified therapy of recent proofs and major result of homogeneous submanifolds, isoparametric submanifolds, and their generalizations to Riemannian manifolds, fairly Riemannian symmetric areas.

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Submanifolds and Holonomy, Second Edition (Chapman & Hall/CRC Monographs and Research Notes in Mathematics) by Jurgen Berndt,Sergio Console,Carlos Enrique Olmos

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