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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Index estimates for minimal surfaces and $ k$-convexity


Author: Ailana Fraser
Journal: Proc. Amer. Math. Soc. 135 (2007), 3733-3744
MSC (2000): Primary 58E12; Secondary 53C21
Published electronically: August 2, 2007
MathSciNet review: 2336590
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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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Additional Information

Ailana Fraser
Affiliation: Department of Mathematics, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z2
Email: afraser@math.ubc.ca

DOI: http://dx.doi.org/10.1090/S0002-9939-07-08894-6
PII: S 0002-9939(07)08894-6
Received by editor(s): July 26, 2006
Published electronically: August 2, 2007
Additional Notes: The author was partially supported by the Natural Sciences and Engineering Research Council of Canada (NSERC)
Communicated by: Jon G. Wolfson
Article copyright: © Copyright 2007 American Mathematical Society