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Asymptotically Extrinsic Tamed Submanifolds
dc.contributor.author | Bessa, G. Pacelli | |
dc.contributor.author | Gimeno, Vicent | |
dc.contributor.author | Palmer Andreu, Vicente | |
dc.date.accessioned | 2017-06-07T10:12:33Z | |
dc.date.available | 2017-06-07T10:12:33Z | |
dc.date.issued | 2017-04 | |
dc.identifier.uri | http://hdl.handle.net/10234/167904 | |
dc.description.abstract | We study, from the extrinsic point of view, the structure at infinity of open submanifolds, ϕ : Mm → Mn(κ) isometrically immersed in the real space forms of constant sectional curvature κ ≤ 0.We shall use the decay of the second fundamental form of the so-called tamed immersions to obtain a description at infinity of the submanifold in the line of the structural results in Greene et al. (Int Math Res Not 1994:364–377, 1994) and Petrunin and Tuschmann (Math Ann 321:775–788, 2001) and an estimation from below of the number of its ends in terms of the volume growth of a special class of extrinsic domains, the extrinsic balls. | ca_CA |
dc.description.sponsorShip | Vicent Gimeno: Work partially supported by the Research Program of University Jaume I Project UJI-B2016-07, and DGI -MINECO Grant (FEDER) MTM2013-48371-C2-2-P. Vicente Palmer: Work partially supported by the Research Program of University Jaume I Project UJI-B2016-07, DGI -MINECO Grant (FEDER) MTM2013-48371-C2-2-P, and Generalitat Valenciana Grant PrometeoII/2014/064. G. Pacelli Bessa: Work partially supported by CNPq- Brazil grant # 301581/2013-4. | ca_CA |
dc.format.extent | 25 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Springer Verlag | ca_CA |
dc.publisher | Mathematica Josephina, Inc. | ca_CA |
dc.relation.isPartOf | J Geom Anal 2017 | ca_CA |
dc.rights | © Mathematica Josephina, Inc. 2017 | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | Volume growth | ca_CA |
dc.subject | End | ca_CA |
dc.subject | Extrinsic distance | ca_CA |
dc.subject | Second fundamental form | ca_CA |
dc.subject | Gap theorem | ca_CA |
dc.subject | Tamed submanifold | ca_CA |
dc.title | Asymptotically Extrinsic Tamed Submanifolds | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | http://dx.doi.org/ 10.1007/s12220-017-9828-x | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | https://link.springer.com/article/10.1007%2Fs12220-017-9828-x | ca_CA |
dc.type.version | info:eu-repo/semantics/acceptedVersion |
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