Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Chern-Yamabe problem and Chern-Yamabe soliton
View through CrossRef
Let [Formula: see text] be a compact complex manifold of complex dimension [Formula: see text] endowed with a Hermitian metric [Formula: see text]. The Chern-Yamabe problem is to find a conformal metric of [Formula: see text] such that its Chern scalar curvature is constant. In this paper, we prove that the solution to the Chern-Yamabe problem is unique under some conditions. On the other hand, we obtain some results related to the Chern-Yamabe soliton.
Title: Chern-Yamabe problem and Chern-Yamabe soliton
Description:
Let [Formula: see text] be a compact complex manifold of complex dimension [Formula: see text] endowed with a Hermitian metric [Formula: see text].
The Chern-Yamabe problem is to find a conformal metric of [Formula: see text] such that its Chern scalar curvature is constant.
In this paper, we prove that the solution to the Chern-Yamabe problem is unique under some conditions.
On the other hand, we obtain some results related to the Chern-Yamabe soliton.
Related Results
Simulation Of Soliton Amplification In Micro Ring Resonator For Optical Communication
Simulation Of Soliton Amplification In Micro Ring Resonator For Optical Communication
A system consisting of a series of micro ring resonator (MRR) is proposed. Optical dark and bright soliton pulses propagating through the nonlinear waveguides are amplified. This s...
Cohomology groups of holomorphic bundles and Chern classes
Cohomology groups of holomorphic bundles and Chern classes
Cohomologie des fibrés holomorphes et classes de Chern
Cette thèse comporte deux parties. Dans la première partie, nous étudions la cohomologie des variétés kähleri...
TEMPORAL SOLITON: GENERATION AND APPLICATIONS IN OPTICAL COMMUNICATIONS
TEMPORAL SOLITON: GENERATION AND APPLICATIONS IN OPTICAL COMMUNICATIONS
In general, the temporal and spectral shape of a short optical soliton pulse does not change during propagation in a nonlinear medium due to the Kerr effect which balances the chro...
Chern Flat and Chern Ricci-Flat Twisted Product Hermitian Manifolds
Chern Flat and Chern Ricci-Flat Twisted Product Hermitian Manifolds
Let (M1,g) and (M2,h) be two Hermitian manifolds. The twisted product Hermitian manifold (M1×M2f,G) is the product manifold M1×M2 endowed with the Hermitian metric G=g+f2h, where f...
A dark state of Chern bands: Designing flat bands with higher Chern number
A dark state of Chern bands: Designing flat bands with higher Chern number
We introduce a scheme by which flat bands with higher Chern number
\vert C\vert>1
...
Chern-Simons-Antoniadis-Savvidy Forms and Non-Abelian Anomaly
Chern-Simons-Antoniadis-Savvidy Forms and Non-Abelian Anomaly
Kuat medan tensor yang ditransformasikan secara homogen terhadap perluasan transformasi gauge memenuhi bentuk sifat invarian gauge. Analisa invarian gauge dalam bantuk integeralnya...
Yamabe constant evolution and monotonicity along the conformal Ricci flow
Yamabe constant evolution and monotonicity along the conformal Ricci flow
<abstract><p>We investigate the Yamabe constant's behaviour in a conformal Ricci flow. For conformal Ricci flow metric $ g(t) $, $ t \in [0, T) $, the time evolution fo...
∗-Ricci solitons and gradient almost ∗-Ricci solitons on Kenmotsu manifolds
∗-Ricci solitons and gradient almost ∗-Ricci solitons on Kenmotsu manifolds
Abstract
In this paper, we consider *-Ricci soliton in the frame-work of Kenmotsu manifolds. First, we prove that if (M, g) is a Kenmotsu manifold and g is a *-Ricci soliton, then ...