Details
| Original language | English |
|---|---|
| Pages (from-to) | 549-577 |
| Number of pages | 29 |
| Journal | Calculus of Variations and Partial Differential Equations |
| Volume | 50 |
| Issue number | 3 |
| Publication status | Published - Jun 2014 |
Abstract
In this article we prove Liouville and Bernstein theorems in higher codimension for length and area decreasing maps between two Riemannian manifolds. The proofs are based on a strong elliptic maximum principle for sections in vector bundles, which we also present in this article.
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Applied Mathematics
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In: Calculus of Variations and Partial Differential Equations, Vol. 50, No. 3, 06.2014, p. 549-577.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Bernstein theorems for length and area decreasing minimal maps
AU - Savas-Halilaj, Andreas
AU - Smoczyk, Knut
N1 - Funding information: The first author is supported financially by the grant : PE1-417.
PY - 2014/6
Y1 - 2014/6
N2 - In this article we prove Liouville and Bernstein theorems in higher codimension for length and area decreasing maps between two Riemannian manifolds. The proofs are based on a strong elliptic maximum principle for sections in vector bundles, which we also present in this article.
AB - In this article we prove Liouville and Bernstein theorems in higher codimension for length and area decreasing maps between two Riemannian manifolds. The proofs are based on a strong elliptic maximum principle for sections in vector bundles, which we also present in this article.
UR - http://www.scopus.com/inward/record.url?scp=84902341407&partnerID=8YFLogxK
U2 - 10.1007/s00526-013-0646-0
DO - 10.1007/s00526-013-0646-0
M3 - Article
AN - SCOPUS:84902341407
VL - 50
SP - 549
EP - 577
JO - Calculus of Variations and Partial Differential Equations
JF - Calculus of Variations and Partial Differential Equations
SN - 0944-2669
IS - 3
ER -