Results 41 to 50 of about 431,181 (185)

Conformally Einstein–Maxwell Kähler metrics and structure of the automorphism group [PDF]

Mathematische Zeitschrift, 2017
Let (M, g) be a compact Kähler manifold and f a positive smooth function such that its Hamiltonian vector field $$K = J\mathrm {grad}_g f$$K=Jgradgf for the Kähler form $$\omega _g$$ωg is a holomorphic Killing vector field. We say that the pair (g, f) is
A. Futaki, Hajime Ono
semanticscholar   +1 more source

Triangle anomalies from Einstein manifolds [PDF]

Advances in Theoretical and Mathematical Physics, 2006
30 pages, 5 figures; published ...
Benvenuti, S, Zayas, LAP, Tachikawa, Y
openaire   +4 more sources

Kenmotsu 3-manifolds and gradient solitons

Karpatsʹkì Matematičnì Publìkacìï, 2023
The aim of this article is to characterize a Kenmotsu 3-manifold whose metric is either a gradient Yamabe soliton or gradient Einstein soliton. It is proven that in both cases this manifold is reduced to the manifold of constant sectional curvature ...
F. Mofarreh, U.C. De
doaj   +1 more source

Quarter-Symmetric Metric Connection on a Cosymplectic Manifold

Mathematics, 2023
We study the quarter-symmetric metric A-connection on a cosymplectic manifold. Observing linearly independent curvature tensors with respect to the quarter-symmetric metric A-connection, we construct the Weyl projective curvature tensor on a cosymplectic
Miroslav D. Maksimović, Milan Lj. Zlatanović   +1 more
doaj   +1 more source

Kähler–Einstein metrics and volume minimization [PDF]

Advances in Mathematics, 2016
We prove that if a $\mathbb{Q}$-Fano variety $V$ specially degenerates to a K\"{a}hler-Einstein $\mathbb{Q}$-Fano variety $V$, then for any ample Cartier divisor $H=-r^{-1} K_V$ with $r\in \mathbb{Q}_{>0}$, the normalized volume $\widehat{\rm vol}(v)=A_{\
Chi Li, Yuchen Liu
semanticscholar   +1 more source

Some solitons on anti-invariant submanifold of LP-Kenmotsu manifold admitting Zamkovoy connection [PDF]

Journal of Hyperstructures
In this paper we prove some curvature properties of anti-invariant submanifold of Lorentzian para-Kenmotsu manifold (briefly, LP-Kenmotsu manifolds) with respect to Zamkovoy connection (∇∗).
Abhijit Mandal, Meghlal Mallik
doaj   +1 more source

On geometry of sub-Riemannian η-Einstein manifolds

Дифференциальная геометрия многообразий фигур, 2019
On a sub-Riemannian manifold of contact type a connection with torsion is considered, called in the work a Ψ-connection. A Ψ-connection is a particular case of an N-connection.
S. Galaev
doaj   +1 more source

On gradient η-Einstein solitons

, 2018
If the potential vector field of an η-Einstein soliton is of gradient type, using Bochner formula, we derive from the soliton equation a nonlinear second order PDE.
A. Blaga
semanticscholar   +1 more source

Fractional Yamabe problem on locally flat conformal infinities of Poincare-Einstein manifolds [PDF]

, 2017
We study, in this paper, the fractional Yamabe problem introduced by Gonzalez-Qing on the conformal infinity (M^n, [h]) of a Poincare-Einstein manifold (X^{n+1}, g^{+}) with either n=2 or n> 3 and (M^n, [h]) is locally flat - namely (M, h) is locally ...
Martin Gebhard Mayer, C. B. Ndiaye
semanticscholar   +1 more source

On trans-Sasakian $3$-manifolds as $\eta$-Einstein solitons

Karpatsʹkì Matematičnì Publìkacìï, 2021
The present paper is to deliberate the class of $3$-dimensional trans-Sasakian manifolds which admits $\eta$-Einstein solitons. We have studied $\eta$-Einstein solitons on $3$-dimensional trans-Sasakian manifolds where the Ricci tensors are Codazzi type ...
D. Ganguly, S. Dey, A. Bhattacharyya
doaj   +1 more source