On conformally flat totally real submanifolds
Ognian Kassabov
TL;DR
This paper investigates conformally flat totally real submanifolds within Kaehler manifolds, focusing on their properties when they are semiparallel or possess semiparallel mean curvature vectors.
Contribution
It introduces new results on the geometric properties of conformally flat totally real submanifolds with specific curvature conditions in Kaehler manifolds.
Findings
Characterization of conformally flat totally real submanifolds
Conditions for semiparallelism in these submanifolds
Results on mean curvature vector properties
Abstract
In Kaehler manifolds are investigated conformally flat totally real submanifolds, which are semiparallel or have semiparallel mean curvature vector.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Geometric and Algebraic Topology