Bifurcation and local rigidity of homogeneous solutions to the Yamabe problem on maximal flag manifolds

Autor(es)

Grama, Lino ; Lima, Kennerson N. S.

• Tipo de documento: Artigo Científico
• Fonte: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS; v. 73, p. 41-pg., 2020-12-01.

Resumo

We construct 1-parameter families of well known solutions to the Yamabe problem defined on maximal flag manifolds to determine bifurcation instants for these families looking at changes of the Morse index of these metrics when the parameter varies on the interval [0,1]. A bifurcation point for such families is an accumulation point of others solutions to the Yamabe problem and a local rigidity point is a isolated solution of this problem, i.e., is not a bifurcation point. (C) 2020 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 18/13481-0 - Geometria de sistemas de controle, sistemas dinâmicos e estocásticos
• Beneficiário: Marco Antônio Teixeira
• Modalidade de apoio: Auxílio à Pesquisa - Temático