Work

On a Three Dimensional Riemannian Manifold with an Additional Structure

Year: 2009

Type: preprint

Abstract: We consider a 3-dimensional Riemannian manifold with additional structure q. We find a condition that the affine structure q is parallel with respect to the Riamannian connection.We prove the sectional curvatures of three 2-sections formed linearly independent vectors are equal among them.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.0905.0801

Authors: Dzhelepov, Georgi, Dokuzova, Iva, Razpopov, Dimitar

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2144012168

Cites: 5

Cited by: 11

Related to: 10