Results 81 to 90 of about 3,068 (120)

Remarks on Local Lie algebras of pairs of functions [PDF]

arXiv, 2016
We study local Lie algebras of pairs of functions which generate infinitesimal symmetries of almost-cosymplectic-contact structures of odd dimensional manifolds.
arxiv  

Classification of integrable complex structures on 6-dimensional product Lie algebras [PDF]

arXiv, 2018
We classify all integrable complex structures on 6-dimensional Lie algebras of the form $\mathfrak{g}\times\mathfrak{g}$.
arxiv  

Slant Riemannian maps to Kaehler manifolds [PDF]

arXiv, 2012
We introduce slant Riemannian maps from Riemannian manifolds to almost Hermitian manifolds as a generalization of slant immersions, invariant Riemannian maps and anti-invariant Riemannian maps. We give examples, obtain characterizations and investigate the harmonicity of such maps. We also obtain necessary and sufficient conditions for slant Riemannian
arxiv  

Intersection Cohomology of Symplectic Quotients [PDF]

arXiv, 1997
Paper withdrawn - lemma 4.1 was false. Quite a lot of changes need to be made!
arxiv  

Symplectic rational blowdowns [PDF]

arXiv, 1998
We prove that the rational blowdown, a surgery on smooth 4-manifolds introduced by Fintushel and Stern, can be performed in the symplectic category. As a consequence, interesting families of smooth 4-manifolds, including the exotic $K3$ surfaces of Gompf and Mrowka, admit symplectic structures.
arxiv  

Commuting Conditions of the k-th Cho operator with the structure Jacobi operator of real hypersurfaces in complex space forms

Open Mathematics, 2015
In this paper three dimensional real hypersurfaces in non-flat complex space forms whose k-th Cho operator with respect to the structure vector field ξ commutes with the structure Jacobi operator are classified.
Panagiotidou Konstantina, Pérez Juan de Dios   +1 more
doaj   +1 more source

The β-Flatness Condition in CR Spheres

Advanced Nonlinear Studies, 2017
This work is an adaptation of one of the methods based on the variational critical points at infinity theory of Abbas Bahri [1, 3, 2, 4, 5, 6, 7, 8] to the Cauchy–Riemann settings.
Gamara Najoua, Hafassa Boutheina
doaj   +1 more source

Reduction of Sasakian manifolds [PDF]

arXiv, 1999
We show that the contact reduction can be specialized to Sasakian manifolds. We link this Sasakian reduction to K\"ahler reduction by considering the K\"ahler cone over a Sasakian manifold. We present examples of Sasakian manifolds obtained by $S^1$ reduction of standard Sasakian spheres.
arxiv  

Remarks on the flux groups [PDF]

arXiv, 1999
I study flux groups of compact symplectic manifolds. Under some topological assumptions, I give a new estimate of the rank of flux groups and give a method of construcion of compact symplectic aspherical manifolds.
arxiv  

Almost Kahler 4-manifolds with J-invariant Ricci tensor and special Weyl tensor [PDF]

arXiv, 1999
We study the question of integrability of a compatible almost complex structure on a compact symplectic 4-manifold, under various natural assumptions on the curvature of the associated almost Kahler metric.
arxiv