Elastic Fast Marching Learning from Demonstration
Advanced Intelligent Systems, EarlyView.This article presents Elastic Fast Marching Learning (EFML), a novel approach for learning from demonstration that combines velocity‐based planning with elastic optimization. EFML enables smooth, precise, and adaptable robot trajectories in both position and orientation spaces.
Adrian Prados +3 more
wiley +1 more source
Property of the curvatures of integrable poly-Norden manifolds and their submanifolds [PDF]
Journal of Mahani Mathematical ResearchIn the present paper, almost poly-Norden and locally almost poly-Norden manifolds are investigated. Ricci tensor and Riemannian curvature of integrable poly-Norden manifolds are studied. Geometric properties of submanifolds of these types of manifolds
Masoumeh Tofighi +1 more
doaj +1 more source
Curvature based triangulation of metric measure spaces [PDF]
, 2010 We prove that a Ricci curvature based method of triangulation of compact Riemannian manifolds, due to Grove and Petersen, extends to the context of weighted Riemannian manifolds and more general metric measure spaces.
Saucan, Emil
core
Blocking light in compact Riemannian manifolds
, 2006 We study compact Riemannian manifolds for which the light between any pair of points is blocked by finitely many point shades. Compact flat Riemannian manifolds are known to have this finite blocking property.
Benjamin Schmidt +12 more
core +1 more source
Ricci curvatures of contact Riemannian manifolds
Tohoku Mathematical Journal, 1988 It is not known whether there exist contact Riemannian manifolds of constant \(\phi\)-sectional curvature which are not Sasakian. The author proves that the Ricci curvature of a contact Riemannian manifold of constant \(\phi\)-sectional curvature satisfies an inequality, from which a condition for such a manifold to be Sasakian is obtained.
openaire +3 more sources
Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Communications on Pure and Applied Mathematics, EarlyView.Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley +1 more source
First Natural Connection on Riemannian Π-Manifolds
Mathematics, 2023 A natural connection with torsion is defined, and it is called the first natural connection on the Riemannian Π-manifold. Relations between the introduced connection and the Levi–Civita connection are obtained.
Hristo Manev
doaj +1 more source
Fundamentals of Riemannian geometry and its evolution : a thesis presented in partial fulfilment of the requirements for the degree of Master of Science in Mathematics at Massey University, Palmerston North, New Zealand [PDF]
, 2000 In this thesis we study the theory of Riemannian manifolds: these are smooth manifolds equipped with Riemannian metrics, which allow one to measure geometric quantities such as distances and angles.
Senarath, Padma
core
The Geometry of Warped Product Singularities
, 2017 In this article the degenerate warped products of singular semi-Riemannian manifolds are studied. They were used recently by the author to handle singularities occurring in General Relativity, in black holes and at the big-bang. One main result presented
Beem J. K. +8 more
core +1 more source
First and second sharp constants in Riemannian Gagliardo–Nirenberg inequalities
Mathematische Nachrichten, EarlyView.Abstract Let (M,g)$(M,g)$ be a smooth compact Riemannian manifold of dimension n≥2$n\ge 2$, 1
Jurandir Ceccon +2 more
wiley +1 more source