Ends, Fundamental Tones, and Capacities of Minimal Submanifolds Via Extrinsic Comparison Theory
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comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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Title
Ends, Fundamental Tones, and Capacities of Minimal Submanifolds Via Extrinsic Comparison TheoryDate
2014Publisher
Springer VerlagISSN
0926-2601; 1572-929XType
info:eu-repo/semantics/articlePublisher version
http://link.springer.com/article/10.1007/s11118-014-9456-zVersion
info:eu-repo/semantics/publishedVersionSubject
Abstract
We study the volume of extrinsic balls and the capacity of extrinsic annuli in minimal
submanifolds which are properly immersed with controlled radial sectional curvatures
into an ambient manifold with a pole. The ... [+]
We study the volume of extrinsic balls and the capacity of extrinsic annuli in minimal
submanifolds which are properly immersed with controlled radial sectional curvatures
into an ambient manifold with a pole. The key results are concerned with the comparison
of those volumes and capacities with the corresponding entities in a rotationally symmetric
model manifold. Using the asymptotic behavior of the volumes and capacities we then
obtain upper bounds for the number of ends as well as estimates for the fundamental tone
of the submanifolds in question. [-]
Is part of
Potential Anal (2015) 42:749–774Rights
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