Asymptotically Extrinsic Tamed Submanifolds
comunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/43662
comunitat-uji-handle3:10234/43643
comunitat-uji-handle4:
INVESTIGACIONMetadatos
Título
Asymptotically Extrinsic Tamed SubmanifoldsFecha de publicación
2017-04Editor
Springer Verlag; Mathematica Josephina, Inc.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://link.springer.com/article/10.1007%2Fs12220-017-9828-xVersión
info:eu-repo/semantics/acceptedVersionPalabras clave / Materias
Resumen
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 ... [+]
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. [-]
Publicado en
J Geom Anal 2017Derechos de acceso
© Mathematica Josephina, Inc. 2017
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info:eu-repo/semantics/openAccess
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