By Jurgen Berndt,Sergio Console,Carlos Enrique Olmos
Submanifolds and Holonomy, moment Edition explores fresh growth within the submanifold geometry of area varieties, together with new equipment in line with the holonomy of the conventional connection. This moment variation displays many advancements that experience happened because the ebook of its renowned predecessor.
New to the second one Edition
- New bankruptcy on common holonomy of advanced 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 lifestyles of slices and primary orbits for isometric actions
- New subsection on maximal completely 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 conventional holonomy theorem to deal with the geometry of submanifolds. It offers a unified remedy of recent proofs and major result of homogeneous submanifolds, isoparametric submanifolds, and their generalizations to Riemannian manifolds, fairly Riemannian symmetric areas.
Read Online or Download Submanifolds and Holonomy, Second Edition (Chapman & Hall/CRC Monographs and Research Notes in Mathematics) PDF
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