Results 91 to 100 of about 431,181 (185)

Curvature properties of \(\alpha\)-cosymplectic manifolds with \(\ast\)-\(\eta\)-Ricci-Yamabe solitons

Cubo
In this research article, we study \(\ast\)-\(\eta\)-Ricci-Yamabe solitons on an \(\alpha\)-cosymplectic manifold by giving an example in the support and also prove that it is an \(\eta\)-Einstein manifold.
Vandana, Rajeev Budhiraja, Aliya Naaz Siddiqui Diop   +2 more
doaj   +1 more source

Hyper-Generalized Weakly Symmetric Para-Sasakian Manifolds and Their Geometric Properties

Қарағанды университетінің хабаршысы. Математика сериясы
This paper examines para-Sasakian manifolds that satisfy a hyper-generalized weakly symmetric curvature condition. The conditions under which such a manifold with a hyper-generalized weakly symmetric curvature condition satisfies the η-Einstein manifold
B. Thangjam, M.S. Devi
doaj   +1 more source

Some Curvature Conditions on a Para-Sasakian Manifold with Canonical Paracontact Connection

International Journal of Mathematics and Mathematical Sciences, 2012
We study canonical paracontact connection on a para-Sasakian manifold. We prove that a Ricci-flat para-Sasakian manifold with respect to canonical paracontact connection is an η-Einstein manifold.
Bilal Eftal Acet, Erol Kılıç, Selcen Yüksel Perktaş   +2 more
doaj   +1 more source

Complex manifolds and Einstein’s equations

, 1982
We present a generalization of Penrose’s twistor theory based on the geometry of rational curves in complex manifolds. The analytical counterpart of this complex geometry consists, in the three simplest cases, of a system of differential equations closely connected with Einstein’s equations.
openaire   +2 more sources

On Einstein, Hermitian 4-manifolds

Journal of Differential Geometry, 2012
Let (M,h) be a compact 4-dimensional Einstein manifold, and suppose that h is Hermitian with respect to some complex structure J on M. Then either (M,J,h) is Kaehler-Einstein, or else, up to rescaling and isometry, it is one of the following two exceptions: the Page metric on CP2 # (-CP2), or the Einstein metric on CP2 # 2 (-CP2) constructed in Chen ...
openaire   +3 more sources

Hidden Symmetries of Euclideanised Kerr-NUT-(A)dS Metrics in Certain Scaling Limits

Symmetry, Integrability and Geometry: Methods and Applications, 2012
The hidden symmetries of higher dimensional Kerr-NUT-(A)dS metrics are investigated. In certain scaling limits these metrics are related to the Einstein-Sasaki ones.
Mihai Visinescu, Eduard Vîlcu
doaj   +1 more source

CHARACTERIZATION OF SUPER QUASI-EINSTEIN MANIFOLD

, 2014
K. Halder, B. Pal, A. Bhattacharyya, T. De   +3 more
semanticscholar   +1 more source

LP-Kenmotsu Manifolds Admitting Bach Almost Solitons

Universal Journal of Mathematics and Applications
For a Lorentzian para-Kenmotsu manifold of dimension $m$ (briefly, ${(LPK)_{m}}$) admitting Bach almost soliton $(g,\zeta,\lambda)$, we explored the characteristics of the norm of Ricci operator. Besides, we gave the necessary condition for ${(LPK)_{m}}
Mohd Bilal, Vindhyachal Singh Yadav, Abhinav Verma, Rajendra Prasad, Abdul Haseeb   +4 more
doaj   +1 more source

ON CONFORMAL AND QUASI-CONFORMAL CURVATURE TENSORS OF AN N(κ)-QUASI EINSTEIN MANIFOLD

, 2012
A. Hosseinzadeh, A. Taleshian
semanticscholar   +1 more source

A study on W9-curvature tensor within the framework of Lorentzian para-Sasakian manifold

Extracta Mathematicae
This article focuses on the study of Lorentzian para-Sasakian manifolds Mn . It demonstrates that a W9-semisymmetric Lorentzian para-Sasakian manifold is a W9-flat manifold.
G.P. Singh, S.S. Mishra, P. Sharma
doaj   +1 more source