Isoperimetric inequalities for submanifolds. Jellett–Minkowski’s formula revisited
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http://dx.doi.org/10.1112/plms/pdu053 |
Metadatos
Título
Isoperimetric inequalities for submanifolds. Jellett–Minkowski’s formula revisitedAutoría
Fecha de publicación
2014Editor
London Mathematical SocietyISSN
0024-6115; 1460-244XTipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://plms.oxfordjournals.org/content/110/3/593.full.pdf+htmlVersión
info:eu-repo/semantics/publishedVersionResumen
n this paper, we provide an extension to the Jellett–Minkowski formula for immersed
submanifolds within ambient manifolds which possess a pole and radial curvatures bounded
from above or below. Using this generalized ... [+]
n this paper, we provide an extension to the Jellett–Minkowski formula for immersed
submanifolds within ambient manifolds which possess a pole and radial curvatures bounded
from above or below. Using this generalized Jellett–Minkowski formula allows us to focus
on several isoperimetric problems. Specifically, it becomes possible to concentrate on lower
bounds for the isoperimetric quotients of any pre-compact domain with a smooth boundary,
or on the isoperimetric profile of the submanifold and its modified volume. In the particular
case of a rotationally symmetric model space with strictly decreasing radial curvatures, an
Aleksandrov-type theorem is provided. [-]
Publicado en
Proc. London Math. Soc. (3) 110 (2015) 593–614Derechos de acceso
© 2014 London Mathematical Society
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