Results 81 to 90 of about 8,378,483 (177)

Conformal symmetries and MOTS stability

Physics Letters B
Let {Σt} be a spacelike foliation of a spacetime M, and suppose each Σt is foliated by 2-surfaces S with spacelike unit normal in Σt. We show that under mild energy conditions, a MOTS S that intersects integral curves of past-pointing conformal Killing ...
Abbas M. Sherif
doaj   +1 more source

Locally Conformal Almost Cosymplectic Manifolds Endowed with a Skew-Symmetric Killing Vector Field [PDF]

論文(Article)We study a locally conformal almost cosymplectic manifold M which carries a horizontal skew-symmetric Killing vector field X. Such X denes a relative conformal cosymplectic transformation of the conformal cosymplectic 2-form Ω of M and the ...
Mihai, Adela, Matsumoto, Koji, Naitza, Dorotea   +2 more
core  

Lorentzian flat lie groups admitting a timelike left-invariant killing vector field [PDF]

, 2014
We call a connected Lie group endowed with a left-invariant Lorentzian at metric Lorentzian at Lie group. In this Note, we determine all Lorentzian at Lie groups admitting a timelike left-invariant Killing vector field.
Hicham Lebzioui, Lebzioui, Hicham
core  

Gravito-electromagnetism, Kerr-Schild and Weyl double copies; a unified perspective

Journal of High Energy Physics
Two modern programs involving analogies between general relativity and electro-magnetism, gravito-electromagnetism (GEM) and the classical double copy (CDC), induce electromagnetic potentials from specific classes of spacetime metrics.
Elena Cáceres, Brian Kent, Harita Palani Balaji   +2 more
doaj   +1 more source

Almost hyperbolic Ricci solitons on almost co-Ka¨hler manifolds

Қарағанды университетінің хабаршысы. Математика сериясы
This research investigates almost hyperbolic Ricci solitons on almost co-K¨ahler manifolds, an important class of odd-dimensional manifolds closely related to Ka¨hler geometry.
S. Azami, U.C. De
doaj   +1 more source

The general supersymmetric solution of minimal massive supergravity

Physics Letters B
Minimal massive supergravity is the supersymmetric extension of minimal massive gravity in three dimensions. The theory admits a supersymmetric anti-de Sitter vacuum around which the propagating modes of spin 2 and 3/2 combine into a supermultiplet.
Nihat Sadik Deger, Jan Rosseel, Henning Samtleben   +2 more
doaj   +1 more source

Killing vector fields and characteristic forms

Japanese journal of mathematics. New series, 1995
Let \((M,g)\) be a compact orientable Riemannian manifold, \(\dim M =n =2m\), \(\nabla\) the Riemannian connection, \(\omega\) the connection form and \(\Omega =d\omega- \omega\wedge \omega\) the curvature form. The structure group of the tangent bundle of \(M\) is \(SO(n)\), and the corresponding Lie algebra \(o(n)\) is the algebra of real \((n\times ...
openaire   +3 more sources

SURFACES IN 𝔼³MAKING CONSTANT ANGLE WITH KILLING VECTOR FIELDS

, 2012
In the present paper we classify curves and surfaces in Euclidean 3-space which make constant angle with a certain Killing vector field. Moreover, we characterize the catenoid and Dini's surface in terms of constant angle surfaces.
MARIAN IOAN MUNTEANU, ANA IRINA NISTOR
core   +1 more source

Lightlike Geometry of Leaves in Indefinite Kenmotsu Manifolds

Cubo, 2011
In this paper, we study some aspects of the geometry of leaves of integrable distributions of lightlike hypersurfaces in indefinite Kenmotsu manifolds, tangent to the structure vector field.
Fortuné Massamba
doaj  

Killing Vector Fields of Invariant Metrics

Geometry
We study the existence of Killing vector fields for right-invariant metrics on low-dimensional Lie groups. Specifically, Lie groups of dimension two, three and four are considered. Before attempting to implement the differential conditions that comprise Killing’s equations, the metric is reduced as much as possible by using the automorphism group of ...
openaire   +1 more source