dc.contributor.author
Solanes, G.
dc.contributor.author
Trillo, J. A.
dc.date.accessioned
2024-10-14T09:56:55Z
dc.date.accessioned
2024-12-09T12:34:57Z
dc.date.available
2024-10-14T09:56:55Z
dc.date.available
2024-12-09T12:34:57Z
dc.date.issued
2024-07-16
dc.identifier.uri
http://hdl.handle.net/2072/537864
dc.description.abstract
Given an isometry invariant valuation on a complex space form we compute its value on the tubes of sufficiently small radii around a set of positive reach. This generalizes classical formulas of Weyl, Gray and others about the volume of tubes. We also develop a general framework on tube formulas for valuations in Riemannian manifolds.
eng
dc.description.sponsorship
Work partially supported by the FEDER/MICIU/AEI grants PGC2018-095998-B-I00, PID2021-125625NB-I00 and the AGAUR grant 2021-SGR-01015. The first author is supported by the Serra Hunter Programme and the MICIU/AEI Maria de Maeztu grant CEX2020-001084-M. The second author is supported by the FEDER/MICIU/AEI grant PRE2019-091402.
dc.format.extent
33 p.
cat
dc.publisher
Springer Heidelberg
cat
dc.relation.ispartof
Mathematische Annalen
cat
dc.rights
L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: https://creativecommons.org/licenses/by/4.0/
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Mathematics
cat
dc.subject.other
Tube formulas
cat
dc.subject.other
Riemannian manifolds
cat
dc.title
Tube formulas for valuations in complex space forms
cat
dc.type
info:eu-repo/semantics/article
cat
dc.type
info:eu-repo/semantics/publishedVersion
cat
dc.identifier.doi
10.1007/s00208-024-02929-2
cat
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
