On the structure of minimal submanifolds in a Riemannian manifold of non-negative curvature

다국어 초록 (Multilingual Abstract)

Let M^{n} be a complete oriented non-compact minimally immersed submanifold
in a complete Riemannian manifold N^{n+p} of non-negative
curvature. We prove that if M is super-stable, then
there are no non-trivial L^2 harmonic one forms on M. This is a generalization of the main result in [8].

다국어 초록 (Multilingual Abstract)

Let M^{n} be a complete oriented non-compact minimally immersed submanifold
in a complete Riemannian manifold N^{n+p} of non-negative
curvature. We prove that if M is super-stable, then
there are no non-trivial L^2 harmonic one forms on M. This is a generalization of the main result in [8].

참고문헌 (Reference)

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