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Problems of Extrinsic Geometry of Foliations.
- Source :
-
Journal of Mathematical Sciences . Nov2023, Vol. 276 Issue 3, p391-399. 9p. - Publication Year :
- 2023
-
Abstract
- This survey is devoted to particular problems of extrinsic geometry of foliations, which, roughly speaking, describes how leaves (or single submanifolds) are located in the ambient pseudo- Riemannian space. We discuss the following topics with the mixed scalar curvature: integral formulas and splitting of foliations, prescribing the mixed curvature of foliations, and variations of functionals defined on foliations, which seem to be central in extrinsic geometry. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10723374
- Volume :
- 276
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 173517013
- Full Text :
- https://doi.org/10.1007/s10958-023-06755-w