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Rigidity theorem for harmonic maps from Riemannian manifold to Grassmannian manifold
Authors:Wang Changping
Institution:(1) Department of Mathematics, Fujian Normal University, China
Abstract:We first study the Grassmannian manifoldG n (Rn+p)as a submanifold in Euclidean space Lambda n (R n+p). Then we give a local expression for each map from Riemannian manifoldM toG n (R n+p) subLambda n (R n+p), and use the local expression to establish a formula which is satisfied by any harmonic map fromM toG n (R n+p). As a consequence of this formula we get a rigidity theorem.
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