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Journal of Geometric Analysis, 1994
Let \(M\) be a manifold endowed with a symmetric tensor field \(g\) of type \((0,2)\). Denote by \(S\) the set of points of degeneracy for \(g\). The author obtains an existence and uniqueness theorem for geodesics through \(S\) and existence and uniqueness theorems for parallel and Jacobi fields along these geodesics.
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Let \(M\) be a manifold endowed with a symmetric tensor field \(g\) of type \((0,2)\). Denote by \(S\) the set of points of degeneracy for \(g\). The author obtains an existence and uniqueness theorem for geodesics through \(S\) and existence and uniqueness theorems for parallel and Jacobi fields along these geodesics.
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TOTALLY BIHARMONIC SUBMANIFOLDS
Differential Geometry, 2009IMPERA D, MONTALDO, STEFANO
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