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Small spheres with prescribed nonconstant mean curvature in Riemannian manifolds.
- Source :
-
Journal of Functional Analysis . Jun2024, Vol. 286 Issue 11, pN.PAG-N.PAG. 1p. - Publication Year :
- 2024
-
Abstract
- Given a function f on a smooth Riemannian manifold without boundary, we prove that if p ∈ M is a non-degenerate critical point of f , then a neighborhood of p contains a foliation by spheres with mean curvature proportional to f. This foliation is essentially unique. The nondegeneracy assumption can be substantially relaxed, at the expense of losing the property that the family of spheres with prescribed mean curvature defines a foliation. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00221236
- Volume :
- 286
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- Journal of Functional Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 176539062
- Full Text :
- https://doi.org/10.1016/j.jfa.2024.110415