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Gauss-Bonnet formulae and rotational integrals in constant curvature spaces
| dc.contributor.author | Barahona, S. | |
| dc.contributor.author | Gual-Arnau, Ximo | |
| dc.date.accessioned | 2017-01-09T12:56:31Z | |
| dc.date.available | 2017-01-09T12:56:31Z | |
| dc.date.issued | 2017-02 | |
| dc.identifier.citation | BARAHONA, S.; GUAL-ARNAU, X. Gauss–Bonnet formulae and rotational integrals in constant curvature spaces. Differential Geometry and its Applications, 2017, vol. 50, p. 116-125. | ca_CA |
| dc.identifier.uri | http://hdl.handle.net/10234/165270 | |
| dc.description.abstract | We obtain generalizations of the main result in [10], and then provide geometric interpretations of linear combinations of the mean curvature integrals that appear in the Gauss–Bonnet formula for hypersurfaces in space forms View the MathML source Mλn. Then, we combine these results with classical Morse theory to obtain new rotational integral formulae for the k -th mean curvature integrals of a hypersurface in View the MathML source Mλn. | ca_CA |
| dc.description.sponsorShip | Work supported by the PROMETEOII/2014/062 project and the Spanish Ministry of Science and Innovation Project DPI2013-47279-C2-1-R. We thank Juan José Nuño for his fruitful comments. | ca_CA |
| dc.format.extent | 9 p. | ca_CA |
| dc.format.mimetype | application/pdf | ca_CA |
| dc.language.iso | eng | ca_CA |
| dc.publisher | Elsevier | ca_CA |
| dc.relation.isPartOf | Differential Geometry and its Applications, 2017, vol. 50 | ca_CA |
| dc.rights | © 2016 Elsevier B.V. All rights reserved. | ca_CA |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
| dc.subject | Gauss–Bonnet formula | ca_CA |
| dc.subject | Integral of mean curvature | ca_CA |
| dc.subject | Intrinsic volume | ca_CA |
| dc.subject | Rotational integral formulas | ca_CA |
| dc.subject | Space form | ca_CA |
| dc.title | Gauss-Bonnet formulae and rotational integrals in constant curvature spaces | ca_CA |
| dc.type | info:eu-repo/semantics/article | ca_CA |
| dc.identifier.doi | http://dx.doi.org/10.1016/j.difgeo.2016.11.005 | |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
| dc.relation.publisherVersion | http://www.sciencedirect.com/science/article/pii/S0926224516301188 | ca_CA |
| dc.type.version | info:eu-repo/semantics/sumittedVersion |
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