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Submanifolds and Holonomy (Hardcover, 2nd edition)
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Submanifolds and Holonomy (Hardcover, 2nd edition)
Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Expected to ship within 12 - 17 working days
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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 Edition New chapter
on normal holonomy of complex submanifolds New chapter on the
Berger-Simons holonomy theorem New chapter on the skew-torsion
holonomy system New chapter on polar actions on symmetric spaces of
compact type New chapter on polar actions on symmetric spaces of
noncompact type New section on the existence of slices and
principal orbits for isometric actions New subsection on maximal
totally geodesic submanifolds New subsection on the index of
symmetric spaces The book uses the reduction of codimension,
Moore's lemma for local splitting, and the normal holonomy theorem
to address the geometry of submanifolds. It presents a unified
treatment of new proofs and main results of homogeneous
submanifolds, isoparametric submanifolds, and their generalizations
to Riemannian manifolds, particularly Riemannian symmetric spaces.
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