Isoperimetric inequalities for submanifolds. Jellett–Minkowski’s formula revisited
Metadades
Mostra el registre complet de l'elementcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONAquest recurs és restringit
http://dx.doi.org/10.1112/plms/pdu053 |
Metadades
Títol
Isoperimetric inequalities for submanifolds. Jellett–Minkowski’s formula revisitedAutoria
Data de publicació
2014Editor
London Mathematical SocietyISSN
0024-6115; 1460-244XTipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://plms.oxfordjournals.org/content/110/3/593.full.pdf+htmlVersió
info:eu-repo/semantics/publishedVersionResum
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. [-]
Publicat a
Proc. London Math. Soc. (3) 110 (2015) 593–614Drets d'accés
© 2014 London Mathematical Society
http://rightsstatements.org/vocab/InC/1.0/
info:eu-repo/semantics/restrictedAccess
http://rightsstatements.org/vocab/InC/1.0/
info:eu-repo/semantics/restrictedAccess
Apareix a les col.leccions
- MAT_Articles [751]