Invariant surfaces of a three-dimensional manifold with constant Gauss curvature期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Invariant surfaces of a three-dimensional manifold with constant Gauss curvature

Authors:	Stefano Montaldo Irene I. Onnis

Affiliation:	^aUniversità degli Studi di Cagliari, Dipartimento di Matematica, Via Ospedale 72, 09124 Cagliari, Italy ^bInstituto de Matemática, Estatistica e Computacão Científica, UNICAMP, IMECC, Praca Sergio Buarque de Holanda, 651, Cidade Universitária, Barão Geraldo, Caixa Postal 6065, 13083-859 Campinas, SP, Brazil

Abstract:	We give a reduction procedure to determine (locally) the surfaces with constant Gauss curvature in a three-dimensional manifold which are invariant under the action of a one-parameter subgroup of the isometry group of the ambient space. We apply this procedure to describe the invariant surfaces with constant Gauss curvature in $H^{2} \times R$ and in $H_{3}$ .

Keywords:	Invariant surfaces Gauss curvature
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