Results 21 to 30 of about 738 (35)
A geometric proof of the Karpelevich-Mostow's theorem
, 2007 In this paper we give a geometric proof of the Karpelevich's theorem that asserts that a semisimple Lie subgroup of isometries, of a symmetric space of non compact type, has a totally geodesic orbit.
Di Scala, Antonio J., Olmos, Carlos
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Projectively induced rotation invariant K\"ahler metrics
, 2016 We classify K\"ahler-Einstein manifolds which admit a K\"ahler immersion into a finite dimensional complex projective space endowed with the Fubini-Study metric, whose codimention is not greater than 3 and whose metric is rotation invariant.Comment: 9 ...
Salis, Filippo
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Geodesics and magnetic curves in the 4-dim almost Kähler model space F4
Complex ManifoldsWe study geodesics and magnetic trajectories in the model space F4{{\rm{F}}}^{4}. The space F4{{\rm{F}}}^{4} is isometric to the 4-dim simply connected Riemannian 3-symmetric space due to Kowalski. We describe the solvable Lie group model of F4{{\rm{F}}}^
Erjavec Zlatko, Inoguchi Jun-ichi
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Preferred Parameterisations on Homogeneous Curves [PDF]
, 2003 We show how to specify preferred parameterisations on a homogeneous curve in an arbitrary homogeneous space. We apply these results to limit the natural parameters on distinguished curves in parabolic geometries.Comment: 10 ...
Eastwood, Michael, Slovak, Jan
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AHS-structures and affine holonomies
, 2008 We show that a large class of non-metric, non-symplectic affine holonomies can be realized, uniformly and without case by case considerations, by Weyl connections associated to the natural AHS-structures on certain generalized flag manifolds.Comment: AMS-
Cap, Andreas
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III-harmonic Curves in SL2ℝ˜\widetilde {{\rm{S}}{{\rm{L}}_2}\mathbb{R}} Space
Annals of the West University of Timisoara: Mathematics and Computer ScienceSome work has been done in the study of non-geodesic III-harmonic curves in some model spaces. In this paper, we study III-harmonic curves in SL2ℝ˜\widetilde {{\rm{S}}{{\rm{L}}_2}\mathbb{R}} space. We give necessary and su cient conditions for helices to
Senoussi Bendehiba
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Clifford-Wolf homogeneous Finsler metrics on spheres [PDF]
, 2013 An isometry of a Finsler space is called Clifford-Wolf translation (CW-translation) if it moves all points the same distance. A Finsler space $(M, F)$ is called Clifford-Wolf homogeneous (CW-homogeneous) if for any $x, y\in M$ there is a CW-translation $\
Deng, Shaoqiang, Xu, Ming
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Tamed symplectic structures on compact solvmanifolds of completely solvable type [PDF]
, 2015 A compact solvmanifold of completely solvable type, i.e. a compact quotient of a completely solvable Lie group by a lattice, has a K\"ahler structure if and only if it is a complex torus.
Fino, Anna, Kasuya, Hisashi
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Health effects of European colonization: An investigation of skeletal remains from 19th to early 20th century migrant settlers in South Australia. [PDF]
PLoS One, 2022 Gurr A +5 more
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Nonlinear flag manifolds as coadjoint orbits. [PDF]
Ann Glob Anal Geom (Dordr), 2020 Haller S, Vizman C.
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