Ends, Fundamental Tones, and Capacities of Minimal Submanifolds Via Extrinsic Comparison Theory
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http://dx.doi.org/10.1007/s11118-014-9456-z |
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Títol
Ends, Fundamental Tones, and Capacities of Minimal Submanifolds Via Extrinsic Comparison TheoryData de publicació
2014Editor
Springer VerlagISSN
0926-2601; 1572-929XTipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://link.springer.com/article/10.1007/s11118-014-9456-zVersió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
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. [-]
Publicat a
Potential Anal (2015) 42:749–774Drets d'accés
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