New quasimetric spaces improve stability in complex Hessian equations.
arXiv research
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In this article, we study the geodesic problem in a generalized metric space, in which the distance function satisfies a relaxed triangle inequality for some constant , rather than the usual triangle inequality. Such a space is called a quasimetric space. We show that many well-kn…
We provide an axiomatic approach to the theory of local tangent cones of regular sub-Riemannian manifolds and the differentiability of mappings between such spaces. This axiomatic approach relies on a notion of a dilation structure which is introduced in the general framework of quasimetric spaces. Considering quasimet…
Researchers found abnormal extremals on specific Lie groups.
Eikonal-Constrained QRL improves goal-reaching in reinforcement learning.
Researchers find optimal paths on a specific geometric group.
Study finds abnormal paths on specific Lie groups using algebraic structures.