# ON THE STRUCTURE OF MINIMAL SUBMANIFOLDS IN A RIEMANNIAN MANIFOLD OF NON-NEGATIVE CURVATURE

• Yun, Gab-Jin (Department of Mathematics Myong Ji University) ;
• Kim, Dong-Ho (Department of Mathematics Myong Ji University)
• Published : 2009.11.30
• 88 6

#### Abstract

Let M$^n$ be a complete oriented non-compact minimally immersed submanifold in a complete Riemannian manifold N$^{n+p}$ of nonnegative 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].

#### Keywords

minimal submanifold;super-stable minimal submanifold;L2 harmonic form

#### References

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