Results 11 to 20 of about 553 (38)

Third order ODEs and four-dimensional split signature Einstein metrics [PDF]

, 2005
We construct a family of split signature Einstein metrics in four dimensions, corresponding to particular classes of third order ODEs considered modulo fiber preserving transformations of variables.
arxiv   +1 more source

Geometry of Paraquaternionic Kahler manifolds with torsion [PDF]

, 2005
We study the geometry of PQKT-connections. We find conditions to the existence of a PQKT-connection and prove that if it exists it is unique. We show that PQKT geometry persist in a conformal class of metrics.
arxiv   +1 more source

On the Conformal Geometry of Transverse Riemann-Lorentz Manifolds [PDF]

, 2006
Physical reasons suggested in \cite{Ha-Ha} for the \emph{Quantum Gravity Problem} lead us to study \emph{type-changing metrics} on a manifold. The most interesting cases are \emph{Transverse Riemann-Lorentz Manifolds}. Here we study the conformal geometry of such manifolds.
arxiv   +1 more source

Every Lipschitz metric has $C^1$-geodesics [PDF]

Class. Quantum Grav. 31 (2014) 057001, 2013
We prove that the geodesic equation for any semi-Riemannian metric of regularity $C^{0,1}$ possesses $C^1$-solutions in the sense of Filippov.
arxiv   +1 more source

Compact spacelike surfaces in the 3-dimensional de Sitter space [PDF]

arXiv, 2005
We state several sufficient conditions for compact spacelike surface in the3-dimensional de Sitter space to be totally geodesic or spherical.
arxiv  

Almost Paracontact Manifolds [PDF]

arXiv, 2008
In this paper eleven basic classes of almost paracontact manifolds are introduced and some examples are constructed.
arxiv  

ParaSasakian manifolds with a constant paraholomorphic section curvature [PDF]

arXiv, 2008
In this paper paraSasakian manifolds with a constant paraholomorphic section curvature are considered.
arxiv  

Holographic formula for $Q$-curvature. II [PDF]

arXiv, 2010
We extend the holographic formula for the critical $Q$-curvature to all $Q$-curvatures.
arxiv  

A note on Rakić duality principle for Osserman manifolds [PDF]

arXiv, 2012
In this note we prove that for a Riemannian manifold the Osserman pointwise condition is equivalent to the Raki\'c duality principle.
arxiv  

Geometric structures on the tangent bundle of the Einstein spacetime [PDF]

arXiv, 2005
We describe conditions under which a spacetime connection and a scaled Lorentzian metric define natural symplectic and Poisson structures on the tangent bundle of the Einstein spacetime.
arxiv