SUBMERSION IN THE RIEMANNIAN MANIFOLD
Keywords:
Riemannian manifold, immutable curvature surfaces, Gaussian curvature of a surface, Riemannian submersion, Riemannian metric, foliation, complete Riemannian manifold, isometry, geodesic curveAbstract
In this paper, the Gaussian curvature invariant of surfaces is defined using the Riemannian metric, and the Riemannian manifold is required to be a complete Riemannian manifold with invariant curvature. Properties related to the structure of the group of isometric reflection for the Riemannian manifold, one of the fundamental research objects of Riemannian geometry, have been proved.
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