A generalization of Clairaut's formula and its applications
Differential Geometry
2024-09-05 v1
Abstract
The main purpose of this article is to study conditions for a curve on a submanifold , constructed in a particular way involving the Euclidean distance to , to be a geodesic. We also present the naturally arising generalization of Clairaut's formula needed for the generalization of the main result to higher dimensions.
Keywords
Cite
@article{arxiv.2409.02895,
title = {A generalization of Clairaut's formula and its applications},
author = {Vadym Koval},
journal= {arXiv preprint arXiv:2409.02895},
year = {2024}
}