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Master's Dissertation
DOI
https://doi.org/10.11606/D.45.1990.tde-20220712-114124
Document
Author
Full name
Eduardo Almeida Prado
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 1990
Supervisor
 
Title in Portuguese
Teorema de kulkarni quando a curvatura determina a metrica
Keywords in Portuguese
Geometria
Abstract in Portuguese
O objetivo deste trabalho e fornecer um estudo sistematico do teorema de kulkarni. Tal teorema nos responde quando o tensor curvatura de riemann de uma variedade riemaniana determina univocamente a sua metrica. Mais geralmente, dadas duas variedades riemanianas ('M IND.1', 'G IND.1') e ('M IND.2', 'G IND.2') e um difeomorfismo f:'M IND.1' 'SETA' 'M IND.2' que preserva a curvatura seccional, o teorema de kulkarni nos fornece condicoes para que f seja uma isometria. Este trabalho foi feito a partir dos artigos originais de kulkarni e de um artigo posterior escrito por yau. Tais artigos sao: - kulkarni, r. S. Curvature and metric. Ann. Math., 91, 1970. - Kulkarni, r. S. Curvature structures and conformal transformations. J. Diff. Geom., 4, 1970. - Yau, s. T. Curvature preserving diffeomorphisms. Ann. Math., 100, 1974
 
Title in English
not available
Abstract in English
not available
 
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Publishing Date
2022-07-13
 
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