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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

Estabilidade de variações que preservam áreas em formas espaciais. / Stability of área-preserving variations in space forms.

Nascimento, Arlyson Alves do 23 April 2009 (has links)
In this dissertation, we deal with compact hypersurfaces without boundary immersed in space forms such that Sr+1/S1 is constant. They are critical points for an area-preserving variational problem. We show that they are r-stable if and only if they are totally umbilical hypersurfaces. / Fundação de Amparo a Pesquisa do Estado de Alagoas / O objetivo desta dissertação é estudar as hipersuperfícies compactas sem bordo e imersas em formas espaciais com Sr+1 / S1 constante, onde Sr+1 é a (r + 1)-ésima função simétrica das curvaturas principais. Tais hipersuperfícies são os pontos críticos de um problema variacional que preserva área. Demonstraremos que tais imersões são r-estáveis se, e somente se, elas forem hipersuperfícies totalmente umbílicas.

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