Results 81 to 90 of about 464,196 (167)
Higher-dimensional lifts of Killing–Yano forms with torsion [PDF]
Classical and Quantum Gravity, 2016 Using a Kaluza-Klein-type lift, it is shown how Killing-Yano forms with torsion can remain symmetries of a higher-dimensional geometry, subject to an algebraic condition between the Kaluza-Klein field strength and the Killing-Yano form. The lift condition's significance is highlighted, and is satisfied by examples of black holes in supergravity.
openaire +3 more sources
A fractional diffusion equation model for cancer tumor
AIP Advances, 2014 In this article, we consider cancer tumor models and investigate the need for fractional order derivative as compared to the classical first order derivative in time. Three different cases of the net killing rate are taken into account including the case
Olaniyi Samuel Iyiola, F. D. Zaman
doaj +1 more source
Symmetry, Integrability and Geometry: Methods and Applications, 2009 Given a maximally non-integrable 2-distribution D on a 5-manifold M, it was discovered by P. Nurowski that one can naturally associate a conformal structure [g]_D of signature (2,3) on M.
Matthias Hammerl, Katja Sagerschnig
doaj +1 more source
BMC Biology, 2007 Background Inherited bacteria that kill male offspring, male-killers, are known to be common in insects, but little is understood about the mechanisms used by male-killing bacteria to kill males. In this paper we describe the tempo and changes that occur
Heraty Joseph +3 more
doaj +1 more source
Killing forms on G2 and Spin7 manifolds [PDF]
arXiv, 2004 Killing forms on Riemannian manifolds are differential forms whose covariant derivative is totally skew-symmetric. We show that on a compact manifold with holonomy G2 or Spin7 any Killing form has to be parallel. The main tool is a universal Weitzenboeck formula.
arxiv
Spinor bilinears and Killing-Yano forms in generalized geometry [PDF]
arXivSpinor bilinears of generalized spinors and their properties are investigated. Generalized Killing and twistor spinor equations are considered and their relations to the equations satisfied by special types of differential forms are found. Killing equation in generalized geometry is written in terms of the generalized covariant derivative and Killing ...
arxiv
Invariant Prolongation of BGG-Operators in Conformal Geometry [PDF]
arXiv, 2008 BGG-operators form sequences of invariant differential operators and the first of these is overdetermined. Interesting equations in conformal geometry described by these operators are those for Einstein scales, conformal Killing forms and conformal Killing tensors.
arxiv
Killing Forms of Isotropic Lie Algebras [PDF]
arXiv, 2010 This paper presents a method for computing the Killing form of an isotropic Lie algebra defined over an arbitrary field based on the Killing form of a subalgebra containing its anisotropic kernel. This approach allows for streamlined formulas for many Lie algebras of types E6 and E7 and yields a unified formula for all Lie algebras of inner type E6 ...
arxiv
Conformal Killing $L^{2}-$forms on complete Riemannian manifolds with nonpositive curvature operator [PDF]
arXiv, 2017 We give a classification for connected complete locally irreducible Riemannian manifolds with nonpositive curvature operator, which admit a nonzero closed or co-closed conformal Killing $L^{2}-$form. Moreover, we prove vanishing theorems for closed and co-closed conformal Killing $L^{2}-$forms on some complete Riemannian manifolds.
arxiv
Generalized Komar charges and Smarr formulas for black holes and boson stars
SciPost Physics CoreThe standard Komar charge is a $(d-2)$-form that can be defined in spacetimes admitting a Killing vector and which is closed when the vacuum Einstein equations are satisfied.
Romina Ballesteros, Tomás Ortín
doaj +1 more source