Index estimates for minimal surfaces and 𝑘-convexity

Fraser, Ailana

doi:10.1090/S0002-9939-07-08894-6

Index estimates for minimal surfaces and $k$-convexity
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Proc. Amer. Math. Soc. 135 (2007), 3733-3744 Request permission

Abstract:

We prove Morse index estimates for the area functional for minimal surfaces that are solutions to the free boundary problem in $k$-convex domains in manifolds of nonnegative complex sectional curvature.

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