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Gaussians on Riemannian Manifolds: Applications for Robot Learning and Adaptive Control [PDF]
IEEE robotics & automation magazine, 2019 This article presents an overview of robot learning and adaptive control applications that can benefit from a joint use of Riemannian geometry and probabilistic representations.
S. Calinon
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Geodesic Mappings of Semi-Riemannian Manifolds with a Degenerate Metric
Mathematics, 2022 This article introduces the concept of geodesic mappings of manifolds with idempotent pseudo-connections. The basic equations of canonical geodesic mappings of manifolds with completely idempotent pseudo-connectivity and semi-Riemannian manifolds with a ...
Igor G. Shandra, Josef Mikeš
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Integral Formulas for Almost Product Manifolds and Foliations
Mathematics, 2022 Integral formulas are powerful tools used to obtain global results in geometry and analysis. The integral formulas for almost multi-product manifolds, foliations and multiply twisted products of Riemannian, metric-affine and sub-Riemannian manifolds, to ...
Vladimir Rovenski
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Tensor invariants of generalized Kenmotsu manifolds [PDF]
E3S Web of Conferences, 2021 In this paper, we study the properties of generalized Kenmotsu manifolds, consider the second-order differential geometric invariants of the Riemannian curvature tensor of generalized Kenmotsu manifolds (by the symmetry properties of the Riemannian ...
Shihab Ali Abdul Al Majeed +1 more
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Riemannian Hilbert Manifolds [PDF]
, 2017 In this article we collect results obtained by the authors jointly with other authors and we discuss old and new ideas. In particular we discuss singularities of the exponential map, completeness and homogeneity for Riemannian Hilbert quotient manifolds.
Biliotti, Leonardo, Mercuri, Francesco
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Types of Submanifolds in Metallic Riemannian Manifolds: A Short Survey
Mathematics, 2021 We provide a brief survey on the properties of submanifolds in metallic Riemannian manifolds. We focus on slant, semi-slant and hemi-slant submanifolds in metallic Riemannian manifolds and, in particular, on invariant, anti-invariant and semi-invariant ...
Cristina E. Hretcanu, Adara M. Blaga
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Slant Riemannian submersions from Sasakian manifolds
Arab Journal of Mathematical Sciences, 2016 We introduce and characterize slant Riemannian submersions from Sasakian manifolds onto Riemannian manifolds. We survey main results of slant Riemannian submersions defined on Sasakian manifolds.
I. Küpeli Erken, C. Murathan
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Mediterranean Journal of Mathematics, 2023 Osserman manifolds are a generalization of locally two-point homogeneous spaces. We introduce $k$-root manifolds in which the reduced Jacobi operator has exactly $k$ eigenvalues. We investigate one-root and two-root manifolds as another generalization of locally two-point homogeneous spaces. We prove that there is no two-root Riemannian manifold of odd
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Principal component analysis for functional data on Riemannian manifolds and spheres [PDF]
Annals of Statistics, 2017 Functional data analysis on nonlinear manifolds has drawn recent interest. Sphere-valued functional data, which are encountered for example as movement trajectories on the surface of the earth, are an important special case.
Xiongtao Dai, H. Muller
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Cyclic homogeneous Riemannian manifolds [PDF]
, 2014 In spin geometry, traceless cyclic homogeneous Riemannian manifolds equipped with a homogeneous spin structure can be viewed as the simplest manifolds after Riemannian symmetric spin spaces. In this paper, we give some characterizations and properties of
Gadea, P. M. +2 more
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