On mean-convex Alexandrov embedded surfaces in the 3-sphere

L. Hauswirth; M. Kilian; M. U. Schmidt

doi:10.1007/s00209-015-1497-5

On mean-convex Alexandrov embedded surfaces in the 3-sphere

L. Hauswirth
, M. Kilian
, M. U. Schmidt

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

We investigate non-compact mean-convex Alexandrov embedded surfaces in the round unit 3-sphere, and show under which conditions it is possible to continuously deform these preserving mean-convex Alexandrov embeddedness.

Original language	English
Pages (from-to)	483-499
Number of pages	17
Journal	Mathematische Zeitschrift
Volume	281
Issue number	1-2
DOIs	https://doi.org/10.1007/s00209-015-1497-5
Publication status	Published - 19 Oct 2015

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37K10
53A10

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title = "On mean-convex Alexandrov embedded surfaces in the 3-sphere",

abstract = "We investigate non-compact mean-convex Alexandrov embedded surfaces in the round unit 3-sphere, and show under which conditions it is possible to continuously deform these preserving mean-convex Alexandrov embeddedness.",

keywords = "37K10, 53A10",

author = "L. Hauswirth and M. Kilian and Schmidt, \{M. U.\}",

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AU - Kilian, M.

AU - Schmidt, M. U.

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N2 - We investigate non-compact mean-convex Alexandrov embedded surfaces in the round unit 3-sphere, and show under which conditions it is possible to continuously deform these preserving mean-convex Alexandrov embeddedness.

AB - We investigate non-compact mean-convex Alexandrov embedded surfaces in the round unit 3-sphere, and show under which conditions it is possible to continuously deform these preserving mean-convex Alexandrov embeddedness.

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EP - 499

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

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On mean-convex Alexandrov embedded surfaces in the 3-sphere

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