Details
| Original language | English |
|---|---|
| Pages (from-to) | 725-740 |
| Number of pages | 16 |
| Journal | Mathematische Annalen |
| Volume | 361 |
| Issue number | 3-4 |
| Publication status | Published - Apr 2015 |
Abstract
In this article we investigate length decreasing maps (Forrmula presented.) between Riemannian manifolds (Forrmula presented.), (Forrmula presented.) of dimensions (Forrmula presented.) and (Forrmula presented.), respectively. Assuming that (Forrmula presented.) is compact and (Forrmula presented.) is complete such that (Forrmula presented.)where (Forrmula presented.), (Forrmula presented.) are positive constants, we show that the mean curvature flow provides a smooth homotopy of (Forrmula presented.) into a constant map.
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In: Mathematische Annalen, Vol. 361, No. 3-4, 04.2015, p. 725-740.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Evolution of contractions by mean curvature flow
AU - Savas-Halilaj, Andreas
AU - Smoczyk, Knut
N1 - Funding information: The first author is supported financially by the grant : PE1-417.
PY - 2015/4
Y1 - 2015/4
N2 - In this article we investigate length decreasing maps (Forrmula presented.) between Riemannian manifolds (Forrmula presented.), (Forrmula presented.) of dimensions (Forrmula presented.) and (Forrmula presented.), respectively. Assuming that (Forrmula presented.) is compact and (Forrmula presented.) is complete such that (Forrmula presented.)where (Forrmula presented.), (Forrmula presented.) are positive constants, we show that the mean curvature flow provides a smooth homotopy of (Forrmula presented.) into a constant map.
AB - In this article we investigate length decreasing maps (Forrmula presented.) between Riemannian manifolds (Forrmula presented.), (Forrmula presented.) of dimensions (Forrmula presented.) and (Forrmula presented.), respectively. Assuming that (Forrmula presented.) is compact and (Forrmula presented.) is complete such that (Forrmula presented.)where (Forrmula presented.), (Forrmula presented.) are positive constants, we show that the mean curvature flow provides a smooth homotopy of (Forrmula presented.) into a constant map.
KW - 35K55
KW - 53C42
KW - 53C44
KW - 57R52
UR - http://www.scopus.com/inward/record.url?scp=85027936670&partnerID=8YFLogxK
U2 - 10.1007/s00208-014-1090-y
DO - 10.1007/s00208-014-1090-y
M3 - Article
AN - SCOPUS:85027936670
VL - 361
SP - 725
EP - 740
JO - Mathematische Annalen
JF - Mathematische Annalen
SN - 0025-5831
IS - 3-4
ER -