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Doubling Property for BiLipschitz Homogeneous Geodesic Surfaces [PDF]
Journal of Geometric Analysis, 2010 26 pages, 2 figures, final ...
Enrico Le Donne, Le Donne Enrico
exaly +7 more sources
A note on geodesic and almost geodesic mappings of homogeneous Riemannian manifolds [PDF]
Opuscula Mathematica, 2005 Let \(M\) be a differentiable manifold and denote by \(\nabla\) and \(\tilde{\nabla}\) two linear connections on \(M\). \(\nabla\) and \(\tilde{\nabla}\) are said to be geodesically equivalent if and only if they have the same geodesics.
Stanisław Formella
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Compact Riemannian Manifolds with Homogeneous Geodesics [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 A homogeneous Riemannian space (M = G/H,g) is called a geodesic orbit space (shortly, GO-space) if any geodesic is an orbit of one-parameter subgroup of the isometry group G. We study the structure of compact GO-spaces and give some sufficient conditions
Dmitrii V. Alekseevsky +1 more
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On the Existence of Homogeneous Geodesics in Homogeneous Kropina Spaces [PDF]
Bulletin of the Iranian Mathematical Society, 2019 Recently, it is shown that each regular homogeneous Finsler space $M$ admits at least one homogeneous geodesic through any point $o\in M$. The purpose of this article is to study the existence of homogeneous geodesics on singular homogeneous $(α,β)$-spaces, specially, homogeneous Kropina spaces.
M. Hosseini, Hamid Reza Salimi Moghaddam
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Rank inequality in homogeneous Finsler geometry [PDF]
AUT Journal of Mathematics and Computing, 2021 This is a survey on some recent progress in homogeneous Finsler geometry. Three topics are discussed, the classification of positively curved homogeneous Finsler spaces, the geometric and topological properties of homogeneous Finsler spaces satisfying $K\
Ming Xu
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Geodesically equivalent metrics on homogenous spaces [PDF]
Czechoslovak Mathematical Journal, 2018 Two metrics on a manifold are geodesically equivalent if sets of their unparameterized geodesics coincide. In this paper we show that if two left $G$-invariant metrics of arbitrary signature on homogenous space $G/H$ are geodesically equivalent, they are affinely equivalent, i.e. they have the same Levi-Civita connection.
Bokan, Neda +2 more
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H-Umbilical Lagrangian Submanifolds of the Nearly Kähler \( {\mathbb{S}^3\times\mathbb{S}^3} \)
Mathematics, 2020 H-umbilicity was introduced as an analogue of total umbilicity for Lagrangian submanifolds since, in some relevant cases, totally umbilical Lagrangian submanifolds are automatically totally geodesic. In this paper, we show that, in the homogeneous nearly
Miroslava Antić +2 more
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Riemannian M-spaces with homogeneous geodesics [PDF]
Annals of Global Analysis and Geometry, 2018 We investigate homogeneous geodesics in a class of homogeneous spaces called $M$-spaces, which are defined as follows. Let $G/K$ be a generalized flag manifold with $K=C(S)=S\times K_1$, where $S$ is a torus in a compact simple Lie group $G$ and $K_1$ is the semisimple part of $K$.
Arvanitoyeorgos, Andreas +2 more
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Geodesic Approach for an Efficient Trajectory Planning of Mobile Robot Manipulators [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2019 In this paper, the geodesic approach has been employed for an effective, optimal, accurate and smooth trajectory planning of a mobile robot manipulator mechanism.
Pradip Kumar Sahu, Bibhuti Bhusan Biswal
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Almost Complex Surfaces in the Nearly Kähler SL(2,ℝ) × SL(2,ℝ)
Mathematics, 2020 The space S L ( 2 , R ) × S L ( 2 , R ) admits a natural homogeneous pseudo-Riemannian nearly Kähler structure. We investigate almost complex surfaces in this space.
Elsa Ghandour, Luc Vrancken
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