Nonlinear Connections on Gerbes, Clifford-Finsler Modules, and the Index Theorems

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dc.creatorVacaru, Sergiu I.
dc.creatorGonzález--Hernández, Juan F.
dc.date2005-06-21
dc.date2008-09-29
dc.date.accessioned2026-07-07T12:46:22Z
dc.date.available2026-07-07T12:46:22Z
dc.descriptionThe geometry of nonholonomic bundle gerbes, provided with nonlinear connection structure, and nonholonomic gerbe modules is elaborated as the theory of Clifford modules on nonholonomic manifolds which positively fail to be spin. We explore an approach to such nonholonomic Dirac operators and derive the related Atiyah-Singer index formulas. There are considered certain applications in modern gravity and geometric mechanics of such Clifford-Lagrange/ Finsler gerbes and their realizations as nonholonomic Clifford and Riemann-Cartan modules.
dc.descriptionLatex 2e, 32 pages, v3, final modifications in the title and references; to be published in: Indian Journal of Mathematics, Vol. 50, No. 3, 2008
dc.identifierhttps://arxiv.org/abs/math/0506437
dc.identifierhttp://arxiv.org/abs/math/0506437
dc.identifierIndian J. Math. 50 (2008) 573-606
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221360
dc.subjectDifferential Geometry
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subject55R65, 53C05, 53C27, 57R20, 57R22, 53B20, 70H99, 81T13, 83C60
dc.titleNonlinear Connections on Gerbes, Clifford-Finsler Modules, and the Index Theorems
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