Results 21 to 30 of about 910 (47)
Contact metric manifolds with large automorphism group and (κ, µ)-spaces
Complex Manifolds, 2019 We discuss the classifiation of simply connected, complete (κ, µ)-spaces from the point of view of homogeneous spaces. In particular, we exhibit new models of (κ, µ)-spaces having Boeckx invariant -1.
Lotta Antonio
doaj +1 more source
Contact manifolds, Lagrangian Grassmannians and PDEs
Complex Manifolds, 2018 In this paper we review a geometric approach to PDEs. We mainly focus on scalar PDEs in n independent variables and one dependent variable of order one and two, by insisting on the underlying (2n + 1)-dimensional contact manifold and the so-called ...
Eshkobilov Olimjon +3 more
doaj +1 more source
AFFINE OSSERMAN CONNECTIONS WHICH ARE RICCI FLAT BUT NOT FLAT
, 2014 The present paper deals with the existence of new class of affine Osserman connections which are Ricci flat but not flat.
A. Diallo, M. Hassirou
semanticscholar +1 more source
A note on the uniqueness of the canonical connection of a naturally reductive space [PDF]
, 2012 We extend the result in J. Reine Angew. Math. 664, 29-53, to the non-compact case. Namely, we prove that the canonical connection on a simply connected and irreducible naturally reductive space is unique, provided the space is not a sphere, a compact Lie
Olmos, Carlos, Reggiani, Silvio
core +3 more sources
On the Cartan Model of the Canonical Vector Bundles over Grassmannians
, 2006 We give a representation of canonical vector bundles over Grassmannian manifolds as non-compact affine symmetric spaces as well as their Cartan model in the group of the Euclidean motions.Comment: 6 ...
A. T. Fomenko +6 more
core +2 more sources
Corrigendum for "A geometric proof of the Karpelevich-Mostow theorem" [PDF]
, 2016 Corollary 2.3 in our paper "A geometric proof of the Karpelevich-Mostow theorem", Bull. Lond. Math. Soc. 41 (2009), no. 4, 634-638, is false. Here we give a counterexample and show how to avoid the use of this corollary to give a simpler proof of ...
Di Scala, Antonio J., Olmos, Carlos
core
The existence of light-like homogeneous geodesics in homogeneous Lorentzian manifolds
, 2012 In previous papers, a fundamental affine method for studying homogeneous geodesics was developed. Using this method and elementary differential topology it was proved that any homogeneous affine manifold and in particular any homogeneous pseudo ...
Calvaruso +10 more
core +1 more source
On common zeros of eigenfunctions of the Laplace operator
, 2016 We consider the eigenfunctions of the Laplace operator $\Delta $ on a compact Riemannian manifold of dimension $n$. For $M$ homogeneous with irreducible isotropy representation and for a fixed eigenvalue of $\Delta $ we find the average number of common ...
Akhiezer, Dmitri, Kazarnovskii, Boris
core +1 more source
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
doaj +1 more source
Examples of naturally reductive pseudo-Riemannian Lie groups
, 2011 We provide examples of naturally reductive pseudo-Riemannian spaces, in particular an example of a naturally reductive pseudo-Riemannian 2-step nilpotent Lie group $(N, _N)$, such that $_N$ is invariant under a left action and for which the center is ...
Ovando, Gabriela P.
core +1 more source