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Time-dependent operators on some non-orientable projective orbifolds

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Resumo:In this paper we present an explicit construction for the fundamental solution of the heat operator, the Schrödinger operator and related first order parabolic Dirac operators on a class of some conformally flat non-orientable orbifolds. More concretely, we treat a class of projective cylinders and tori where we can study parabolic monogenic sections with values in different pin bundles. We present integral representation formulas together with some elementary tools of harmonic analysis that enable us to solve boundary value problems on these orbifolds.
Autores principais:Krausshar, R. S.
Outros Autores:Rodrigues, M. M.; Vieira, N.
Assunto:Clifford and harmonic analysis Heat operator Schrodinger operator Parabolic Dirac operator Conformally flat orbifolds Spin and pin structures Non-orientable manifolds
Ano:2015
País:Portugal
Tipo de documento:artigo
Tipo de acesso:acesso aberto
Instituição associada:Universidade de Aveiro
Idioma:inglês
Origem:RIA - Repositório Institucional da Universidade de Aveiro

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