Mean curvature of hypersurfaces in Killing submersionswith bounded shadow
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comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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Title
Mean curvature of hypersurfaces in Killing submersionswith bounded shadowAuthor (s)
Date
2020Publisher
WileyISSN
0025-584X; 1522-2616Bibliographic citation
GIMENO, Vicent. Mean Curvature of Hypersurfaces in Killing Submersions with Bounded Shadow. arXiv preprint arXiv:1712.07675, 2017.Type
info:eu-repo/semantics/articlePublisher version
https://onlinelibrary.wiley.com/doi/10.1002/mana.201800089Version
info:eu-repo/semantics/submittedVersionAbstract
Given a complete hypersurface isometrically immersed in an ambient manifold, in this paper we provide a lower bound for the norm of the
mean curvature vector field of the immersion assuming that:
1) The ambient ... [+]
Given a complete hypersurface isometrically immersed in an ambient manifold, in this paper we provide a lower bound for the norm of the
mean curvature vector field of the immersion assuming that:
1) The ambient manifold admits a Killing submersion with unit-length
Killing vector field.
2) The projection of the image of the immersion is bounded in the base
manifold.
3) The hypersurface is stochastically complete, or the immersion is proper. [-]
Is part of
Mathematische Nachrichten. 2020;293:701–720.Investigation project
UJI‐B2018‐35, MTM2017‐84‐851‐C2‐2‐PRights
© 2020 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
"This is the pre-peer reviewed version of the following article: GIMENO, Vicent. Mean Curvature of Hypersurfaces in Killing Submersions with Bounded Shadow. arXiv preprint arXiv:1712.07675, 2017, which has been published in final form at https://doi.org/10.1002/mana.201800089. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions."
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