Results 21 to 30 of about 553 (38)

Homogeneous Cotton solitons [PDF]

, 2013
Left-invariant Cotton solitons on homogeneous manifolds are determined. Moreover, algebraic Cotton solitons are studied providing examples of non-invariant Cotton solitons, both in the Riemannian and Lorentzian homogeneous settings.
arxiv   +1 more source

Pseudoriemannian Nilpotent Lie Groups [PDF]

arXiv, 2006
This is a survey article with a limited list of references (as required by the publisher) which appears in the Encyclopedia of Mathematical Physics, eds. J.-P. Francoise, G.L. Naber and Tsou S.T. Oxford: Elsevier, 2006. vol.4, pp.94--104.
arxiv  

On the existence of a proper conformal maximal disk in L^3 [PDF]

arXiv, 2006
In this paper we construct an example of a properly immersed maximal surface in the Lorentz-Minkowski space L^3 with the conformal type of a disk.
arxiv  

On the DDVV Conjecture and the Comass in Calibrated Geometry (I) [PDF]

Math. Z., 260, pp. 409-429, 2008, 2006
In this paper, we proved a special case of the DDVV Conjecture.
arxiv  

A cubic identity for the Infeld-van der Waerden field and its application [PDF]

arXiv, 2007
A cubic identity for the Infeld-van der Waerden field is found and its application to verifying an explicit formula for the spinor components of the metric connection is demonstrated.
arxiv  

A note on Kosmann-Lie derivatives of Weyl spinors [PDF]

arXiv, 2008
Kosmann-Lie derivatives in the bundle of Weyl spinors are considered. It is shown that the basic spin-tensorial fields of this bundle are constants with respect to these derivatives.
arxiv  

On operator fields in the bundle of Dirac spinors [PDF]

arXiv, 2008
Operator fields in the bundle of Dirac spinors and their conversion to spatial fields are considered. Some commutator equations are studied with the use of the conversion technique.
arxiv  

Lifts of Almost r-Contact and r-Paracontact Structures [PDF]

arXiv, 2009
In this study, taking into considering lifting theory, we shall obtain both almost complex and paracomplex structures on the tangent bun- dle, based on almost Lorentzian r-contact and r-paracontact manifold.
arxiv  

Compact Osserman manifolds with neutral metric [PDF]

arXiv, 2010
It is shown that if a compact four-dimensional manifold with metric of neutral signature is Jordan-Osserman, then it is either of constant sectional curvature or Ricci flat.
arxiv  

Dégénerescence Locale des Transformations Conformes pseudo-Riemanniennes [PDF]

arXiv, 2010
We study the set of conformal immersions between two pseudo-Riemannian manifolds of same dimension. We characterize the closure of this set inside the space of continuous maps, and give some geometric consequences when this closure is nonempty.
arxiv