On the Non-existence of Certain Types of Weakly Symmetric Manifold

• Published in: Sarajevo journal of mathematics Vol. 2; no. 2; pp. 223 - 230
• Main Author: Ghosh, Amalendu
• Format: Journal Article
• Language: English
• Published: 12.06.2024

An expression for the curvature tensor of a weakly symmetric manifold is obtained. Next it is shown that an Einstein weakly symmetric manifold of dimension $>2$ does not exist. Further it is proved that a conformally flat weakly symmetric manifold of dimension $>3$ is a quasi Einstein manifold...