Second variation of one-sided complete minimal surfaces

2011/06/13 by Urbano, Francisco · 1 citation
#53C40 #53C42 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1106.2445

Abstract

The stability and the index of complete one-sided minimal surfaces of certain three-dimensional Riemannian manifolds with positive scalar curvature are studied.

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• Rigidity of surfaces with nonpositive Euler characteristic by the second eigenvalue of the Jacobi operator

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