Totally umbilical submanifolds in some semi-Riemannian manifolds

• Autorzy: Stanisław Ewert-Krzemieniewski
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 53B30: Lorentz metrics, indefinite metrics
• 53B20: Local Riemannian geometry
• 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.)
• 53B25: Local submanifolds
• 53C40: Global submanifolds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2010
• Tom: 119
• Numer: 2
• Strony: 269-299

Daty

wydano

2010

Twórcy

autor

Stanisław Ewert-Krzemieniewski

• School of Mathematics, West Pomeranian University of Technology, Al. Piastów 17, 70-310 Szczecin, Poland

Identyfikatory

DOI

10.4064/cm119-2-8