Decomposition Theory of Spin Connection and Topological Structure of Gauss-Bonnet-Chern Theorem on Manifold With Boundary

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dc.creatorLi, Sheng
dc.creatorDuan, Yishi
dc.date1999-03-10
dc.date.accessioned2026-07-07T04:32:44Z
dc.date.available2026-07-07T04:32:44Z
dc.descriptionThe index theorem of Euler-Poincaré characteristic of manifold with boundary is given by making use of the general decomposition theory of spin connection. We shows the sum of the total index of a vector field $ϕ$ and half the total of the projective vector field of $ϕ$ on the boundary equals the Euler-Poincaré characteristic of the manifold. Detailed discussion on the topological structure of the Gauss-Bonnet-Chern theorem on manifold with boundary is given. The Hopf indices and Brouwer degrees label the local structure of the Euler density.
dc.descriptionRevtex, 13 pages, no figure
dc.identifierhttps://arxiv.org/abs/math-ph/9903020
dc.identifierhttp://arxiv.org/abs/math-ph/9903020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58299
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.titleDecomposition Theory of Spin Connection and Topological Structure of Gauss-Bonnet-Chern Theorem on Manifold With Boundary
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