ANALIZA OBLIKA POVRŠI I UOPŠTENJA

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ANALIZA OBLIKA POVRŠI I UOPŠTENJA

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dc.contributor.advisor Velimirović, Ljubica
dc.contributor.author Cvetković, Milica
dc.date.accessioned 2014-06-24T09:06:02Z
dc.date.available 2014-06-24T09:06:02Z
dc.date.issued 2013
dc.identifier.uri http://hdl.handle.net/123456789/3813
dc.description.abstract This work provides the surface shape analysis in R3 using the shape operator, i.e. using the curvatures as well as curvature's functionals such as the Willmore energy. Then, there were considered changes of surfaces' geometric characteristics under infinitesimal deformations, and specialy, curvature based functionals variations under infinitesimal bending of surface. Special kinds of ruled surfaces were analysed from geometrical and constructional point of view, and pointed to their wide use. At last, there is a generalization by considering the Finsler and the generalized Finsler spaces. en_US
dc.description.provenance Submitted by Slavisha Milisavljevic (slavisha) on 2014-06-24T09:06:02Z No. of bitstreams: 1 2014_01_22_cm.pdf: 1476857 bytes, checksum: af97d7142ee33f47524ccda332d56df4 (MD5) en
dc.description.provenance Made available in DSpace on 2014-06-24T09:06:02Z (GMT). No. of bitstreams: 1 2014_01_22_cm.pdf: 1476857 bytes, checksum: af97d7142ee33f47524ccda332d56df4 (MD5) Previous issue date: 2013 en
dc.language.iso sr en_US
dc.publisher Niš en_US
dc.title ANALIZA OBLIKA POVRŠI I UOPŠTENJA en_US
mf.subject.area Mathematics en_US
mf.subject.keywords Differential geometry of curves and surfaces, shape operator, normal curvature, principal curvatures, Gaussian curvature, mean curvature, Willmore energy, ruled surfaces, Gaudi surfaces, developable surfaces, infinitesimal deformations infinitesimal bending, variations, Finsler's spaces, conection,absolute parallelism, generalized Finsler's spaces, h-covariantdifferentiation, Ricci type identities, curvature tensors, curvature pseudotensors. en_US
mf.subject.subarea Diferencijalna geometrija en_US
mf.university.faculty DEPARTMAN ZA MATEMATIKU en_US
mf.document.references 100 en_US
mf.document.pages 114 en_US
mf.document.location Niš en_US
mf.document.genealogy-project No en_US
mf.university UNIVERZITET U NIŠU en_US

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