Integral Formulas

Vladimir Rovenski; Paweł Walczak

doi:10.1007/978-3-030-70067-6_2

Integral Formulas

Vladimir Rovenski
, Paweł Walczak

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

Integral formulas provide a powerful tool for obtaining global results in analysis and geometry. The integral formulas for foliations (and non-integrable distributions) of Riemannian, Finsler and metric-affine manifolds, to which this chapter is devoted, are useful for solving many problems: (i) the existence and characterization of foliations, whose leaves have a given geometric property, such as being totally geodesic, totally umbilical or minimal; (ii) prescribing the higher mean curvatures of the leaves of a foliation; (iii) minimizing functionals like volume and energy defined for tensor fields on a foliated manifold.

Original language	English
Title of host publication	Progress in Mathematics
Publisher	Birkhauser
Pages	61-122
Number of pages	62
DOIs	https://doi.org/10.1007/978-3-030-70067-6_2
State	Published - 2021

Publication series

Name	Progress in Mathematics
Volume	339
ISSN (Print)	0743-1643
ISSN (Electronic)	2296-505X

Bibliographical note

Publisher Copyright:
© 2021, Springer Nature Switzerland AG.

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Geometry and Topology

Access to Document

10.1007/978-3-030-70067-6_2

Cite this

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Integral Formulas

Abstract

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