The Schouten Curvature Tensor and the Jacobi Equation in Sub-Riemannian Geometry
نویسندگان
چکیده
We show that if a distribution does not depend on the vertical coordinates, then Schouten curvature tensor coincides with Riemannian curvature. The and nonholonomicity are used to write Jacobi equation for distribution. This leads study of second-order optimality conditions horizontal geodesics in sub-Riemannian geometry. conjugate points Heisenberg group as an example.
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ژورنال
عنوان ژورنال: Journal of Mathematical Sciences
سال: 2021
ISSN: ['1072-3374', '1573-8795']
DOI: https://doi.org/10.1007/s10958-021-05361-y