Details
| Original language | English |
|---|---|
| Pages (from-to) | 155-170 |
| Number of pages | 16 |
| Journal | Calculus of Variations and Partial Differential Equations |
| Volume | 4 |
| Issue number | 2 |
| Publication status | Published - Feb 1996 |
| Externally published | Yes |
Abstract
This paper concerns the deformation by mean curvature of hypersurfaces M̃ in Riemannian spaces Ñ that are invariant under a subgroup of the isometry-group on Ñ. We show that the hypersurfaces contract to this subgroup, if the cross-section satisfies a strong convexity assumption.
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Applied Mathematics
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In: Calculus of Variations and Partial Differential Equations, Vol. 4, No. 2, 02.1996, p. 155-170.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Symmetric hypersurfaces in Riemannian manifolds contracting to Lie-groups by their mean curvature
AU - Smoczyk, Knut
PY - 1996/2
Y1 - 1996/2
N2 - This paper concerns the deformation by mean curvature of hypersurfaces M̃ in Riemannian spaces Ñ that are invariant under a subgroup of the isometry-group on Ñ. We show that the hypersurfaces contract to this subgroup, if the cross-section satisfies a strong convexity assumption.
AB - This paper concerns the deformation by mean curvature of hypersurfaces M̃ in Riemannian spaces Ñ that are invariant under a subgroup of the isometry-group on Ñ. We show that the hypersurfaces contract to this subgroup, if the cross-section satisfies a strong convexity assumption.
UR - http://www.scopus.com/inward/record.url?scp=0000576085&partnerID=8YFLogxK
U2 - 10.1007/BF01189952
DO - 10.1007/BF01189952
M3 - Article
AN - SCOPUS:0000576085
VL - 4
SP - 155
EP - 170
JO - Calculus of Variations and Partial Differential Equations
JF - Calculus of Variations and Partial Differential Equations
SN - 0944-2669
IS - 2
ER -