Hipersuperfícies no espaço hiperbólico associadas à equação da curvatura escalar constante

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Dettagli Bibliografici
Autore principale: Machado, Cid Dias Ferraz
Data di pubblicazione: 2014
Natura: Master thesis
Lingua: por
Fonte: Repositório Institucional da UFG
Download full: http://repositorio.bc.ufg.br/tede/handle/tede/3868
Riassunto: In this work we present a study of a class of oriented hypersurfaces in hyperbolic space satisfying a special linear relation between the rth mean curvatures which is based on a Walterson Ferreira and Pedro Roitman’s article, where this class is characterized by a harmonic map derived from the two hyperbolic Gauss maps.We also show the relation of such hypersufaces with solutions of the equation Du+kun+2 n2 = 0, where k 2 f1;0;1g.
Descrizione
Riassunto:In this work we present a study of a class of oriented hypersurfaces in hyperbolic space satisfying a special linear relation between the rth mean curvatures which is based on a Walterson Ferreira and Pedro Roitman’s article, where this class is characterized by a harmonic map derived from the two hyperbolic Gauss maps.We also show the relation of such hypersufaces with solutions of the equation Du+kun+2 n2 = 0, where k 2 f1;0;1g.