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초록· 키워드
오류제보하기
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].
목차
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참고문헌 (14)
참고문헌 신청
D. Fischer-Colbrie / 1980 / The structure of complete stable minimal surfaces in 3-manifolds of nonnegative scalar curvature / Comm. Pure Appl. Math 33 (2) : 199 ~ 211
G. Yun / 2002 / Total scalar curvature and L2 harmonic 1-forms on a minimal hypersurface in Euclidean space / Geom. Dedicata 89 : 135 ~ 141
H. B. Lawson / 1980 / Lectures on Minimal Submanifolds / Publish or Perish, Inc
H.-D. Cao / 1997 / The structure of stable minimal hypersurfaces in Rn+1 / Math. Res. Lett 4 (5) : 637 ~ 644
J. Dodziuk / 1982 / L2 harmonic forms on complete manifolds, in Seminar on Differential Geometry / Princeton University Press : 291 ~ 302
G. Yun / 2002 / Total scalar curvature and L2 harmonic 1-forms on a minimal hypersurface in Euclidean space / Geom. Dedicata 89 : 135 ~ 141
H. B. Lawson / 1980 / Lectures on Minimal Submanifolds / Publish or Perish, Inc
H.-D. Cao / 1997 / The structure of stable minimal hypersurfaces in Rn+1 / Math. Res. Lett 4 (5) : 637 ~ 644
J. Dodziuk / 1982 / L2 harmonic forms on complete manifolds, in Seminar on Differential Geometry / Princeton University Press : 291 ~ 302
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