On graphic Bernstein type results in higher codimension

Author:
Mu-Tao Wang

Journal:
Trans. Amer. Math. Soc. **355** (2003), 265-271

MSC (2000):
Primary 53A10, 35J50, 53A07, 49Q05, 53C38

Published electronically:
September 5, 2002

MathSciNet review:
1928088

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be a minimal submanifold of that can be represented as the graph of a smooth map . We apply a formula that we derived in the study of mean curvature flow to obtain conditions under which must be an affine subspace. Our result covers all known ones in the general case. The conditions are stated in terms of the singular values of .

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Additional Information

**Mu-Tao Wang**

Affiliation:
Department of Mathematics, Columbia University, New York, New York 10027

Email:
mtwang@math.columbia.edu

DOI:
http://dx.doi.org/10.1090/S0002-9947-02-03108-2

Received by editor(s):
February 6, 2002

Published electronically:
September 5, 2002

Additional Notes:
The author was supported by NSF grant DMS 0104163.

Article copyright:
© Copyright 2002
American Mathematical Society