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Topics in Extrinsic Geometry of Codimension-One Foliations (SpringerBriefs in Mathematics Book 1) by Vladimir Rovenski, Paweł Walczak (auth.) is a nonfiction available to read on EtoBox.

What is Topics in Extrinsic Geometry of Codimension-One Foliations (SpringerBriefs in Mathematics Book 1) about?

Extrinsic geometry describes properties of foliations on Riemannian manifolds which can be expressed in terms of the second fundamental form of the leaves. The authors of __Topics in Extrinsic Geometry of Codimension-One____Foliations__ achieve a technical tour de force, which will lead to important geometric results. The __Integral Formulae__, introduced in chapter 1, is a useful for problems such as: prescribing higher mean curvatures of foliations, minimizing volume and energy defined for vector or plane fields on manifolds, and existence of foliations whose leaves enjoy given geometric properties. The Integral Formulae steams from a Reeb formula, for foliations on space forms which generalize the classical ones. For a special auxiliary functions the formulae involve the Newton transformations of the Weingarten operator. The central topic of this book is __Extrinsic Geometric Flow__ (EGF) on foliated manifolds, which may be a tool for prescribing extrinsic geometric properties of foliations. To develop EGF, one needs __Variational Formulae__, revealed in chapter 2, which expresses a change in different extrinsic geometric quantities of a fixed foliation under leaf-wise variation

Who reads Topics in Extrinsic Geometry of Codimension-One Foliations (SpringerBriefs in Mathematics Book 1)?

Author

Vladimir Rovenski, Paweł Walczak (auth.)

Publisher

Springer-Verlag New York

Published

2011

Language

EN

ISBN

9781441999078

Category

nonfiction

Subjects

Mathematics, Science, Stem