Convex functions on Grassmannian manifolds and Lawson-Osserman problem

Details Convex functions on Grassmannian manifolds and Lawson-Osserman problem Convex functions on Grassmannian manifolds and Lawson-Osserman problem

2008-06-26

arxiv.org/abs/0806.4247v1

Mathematics

Differential Geometry

27 pages

Scientific paper

We derive estimates of the Hessian of two smooth functions defined on
Grassmannian manifold. Based on it, we can derive curvature estimates for
minimal submanifolds in Euclidean space via Gauss map. In this way, the result
for Bernstein type theorem done by Jost and the first author could be improved.

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