Results 41 to 50 of about 76,688 (68)
Some comparison theorems for Kahler manifolds [PDF]
arXiv, 2010 In this work, we will verify some comparison results on Kahler manifolds. They are complex Hessian comparison for the distance function from a closed complex submanifold of a Kahler manifold with holomorphic bisectional curvature bounded below by a constant, eigenvalue comparison and volume comparison in terms of scalar curvature.
arxiv
On Einstein, Hermitian 4-Manifolds [PDF]
arXiv, 2010 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 ...
arxiv
New examples of Sasaki-Einstein manifolds [PDF]
arXiv, 2011 In this note, stimulated by the existence result of Futaki-Ono-Wang for toric Sasaki-Einstein metrics, we obtain new examples of Sasaki-Einstein metrics on S^1-bundles associated to canonical line bundles of P^1-bundles over K\"ahler-Einstein Fano manifolds, even though the Futaki's obstruction does not vanish.
arxiv
Exploring certain geometric and harmonic properties of the Berger-type metric conformal deformation on the Para-Kähler-Norden manifold [PDF]
arXivThis work presents a novel class of metrics on a para-K\"{a}hler-Norden manifold $(M^{2m},F,g)$, derived from a conformal deformation of the Berger-type metric associated with the metric $g$. Initially, we examine the Levi-Civita link associated with this metric.
arxiv
Asymptotics of polybalanced metrics under relative stability constraints [PDF]
Osaka J. Math. 48 (2011), 845--856, 2011 Under the assumption of asymptotic relative Chow-stability for polarized algebraic manifolds $(M, L)$, a series of weighted balanced metrics $\omega_m$, $m \gg 1$, called polybalanced metrics, are obtained from complete linear systems $|L^m|$ on $M$. Then the asymptotic behavior of the weights as $m \to \infty$ will be studied.
arxiv
On the Toda systems of VHS type [PDF]
arXiv, 2013 We consider the Toda systems of VHS type with singular sources and provide a criterion for the existence of solutions with prescribed asymptotic behaviour near singularities. We also prove the uniqueness of solution. Our approach uses Simpson's theory of constructing Higgs-Hermitian-Yang-Mills metrics from stability.
arxiv
On Slant Riemannian Submersions For Cosymplectic Manifolds [PDF]
arXiv, 2013 In this paper we introduce slant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds. We obtain some results on slant Riemannian submersions of a cosymplectic manifolds. We also give examples and inequalities between the scalar curvature and squared mean curvature of fibres of such slant submersions according to characteristic ...
arxiv
Modified Futaki invariant and equivariant Riemann-Roch formula [PDF]
arXiv, 2014 In this paper, we give a new version of the modified Futaki invariant for a test configuration associated to the soliton action on a Fano manifold. Our version will naturally come from toric test configurations defined by Donaldson for toric manifolds.
arxiv
Homology groups in CR-warped products of complex space forms. [PDF]
HeliyonLi Y +4 more
europepmc +1 more source
Some of the next articles are maybe not open access.
Related searches:
Related searches:
Gifts from Nature: Bio‐Inspired Materials for Rechargeable Secondary Batteries
Advanced Materials, 2021Chang-heum Jo +2 more
exaly