On SNS-Riemannian connections in sub-Riemannian manifolds
Differential Geometry
2016-01-25 v2
Abstract
The authors define a SNS (semi-nearly-sub)-Riemannian connection on nearly sub-Riemannian manifolds and study the geometric properties of such a connection, and obtain the natures of horizontal curvature tensors between horizontal sub-Riemannian connection and SNS-Riemannian connection. The authors further investigate the geometric characteristics of the projective SNS-Riemannian connection, and obtain a necessary and sufficient condition for a nearly sub-Riemannian manifold being projectively flat.
Keywords
Cite
@article{arxiv.1306.4443,
title = {On SNS-Riemannian connections in sub-Riemannian manifolds},
author = {Yanling Han and Peibiao Zhao},
journal= {arXiv preprint arXiv:1306.4443},
year = {2016}
}
Comments
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