Displaying similar documents to “Theory of semisymmetric conformally flat and biharmonic submanifolds.”

Conformally flat submanifolds

Jean-Marie Morvan, Georges Zafindratafa (1986-1987)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Similarity:

Weyl space forms and their submanifolds

Fumio Narita (2001)

Colloquium Mathematicae

Similarity:

We study the geometric structure of a Gauduchon manifold of constant curvature. We give a necessary and sufficient condition for a Gauduchon manifold to be a Gauduchon manifold of constant curvature, and we classify the Gauduchon manifolds of constant curvature. Next, we investigate Weyl submanifolds of such manifolds.

Totally umbilical submanifolds in some semi-Riemannian manifolds

Stanisław Ewert-Krzemieniewski (2010)

Colloquium Mathematicae

Similarity:

We investigate totally umbilical submanifolds in manifolds satisfying some curvature conditions of either recurrent or pseudosymmetry type in the sense of Ryszard Deszcz and derive the respective condition for submanifolds. We also prove some relations involving the mean curvature and the Weyl conformal curvature tensor of submanifolds. Some examples are discussed.