Results 31 to 40 of about 79,734 (334)
Memory effects in Kundt wave spacetimes
Physics Letters B, 2020 Memory effects in the exact Kundt wave spacetimes are shown to arise in the behaviour of geodesics in such spacetimes. The types of Kundt spacetimes we consider here are direct products of the form H2×M(1,1) and S2×M(1,1).
Indranil Chakraborty, Sayan Kar
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A remark on constant scalar curvature Kähler metrics on minimal models [PDF]
Proceedings of the American Mathematical Society, 2018 In this short note, we prove the existence of constant scalar curvature Kähler metrics on compact Kähler manifolds with semi-ample canonical bundles.
Wangjian Jian, Yalong Shi, Jian Song
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The Han-Li conjecture in constant scalar curvature and constant boundary mean curvature problem on compact manifolds [PDF]
Advances in Mathematics, 2018 The Han-Li conjecture states that: Let $(M,g_0)$ be an $n$-dimensional $(n\geq 3)$ smooth compact Riemannian manifold with boundary having positive (generalized) Yamabe constant and $c$ be any real number, then there exists a conformal metric of $g_0 ...
Xuezhang Chen, Yuping Ruan, Liming Sun
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Geodesics in the Space of Kähler Cone Metrics II: Uniqueness of Constant Scalar Curvature Kähler Cone Metrics [PDF]
Communications on Pure and Applied Mathematics, 2017 In this article, we give a complete construction of geodesics in the space of Kähler cone metrics (cone geodesics), and we address the problem on the uniqueness of constant scalar curvature Kähler (cscK) cone metrics when the cone angle β stays in the ...
Kai Zheng
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Geometry of left-invariant Randers metric on the Heisenberg groups [PDF]
Arab Journal of Mathematical Sciences, 2023 Purpose – In this paper, we consider the Heisenberg groups which play a crucial role in both geometry and theoretical physics. Design/methodology/approach – In the first part, we retrieve the geometry of left-invariant Randers metrics on the Heisenberg ...
Ghodratallah Fasihi-Ramandi +1 more
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Complete spacelike hypersurfaces with constant scalar curvature [PDF]
, 2008 summary:In this paper, we characterize the $n$-dimensional $(n\ge 3)$ complete spacelike hypersurfaces $M^n$ in a de Sitter space $S^{n+1}_1$ with constant scalar curvature and with two distinct principal curvatures one of which is simple.We show that $M^
Shu, Schi Chang, Shu Shichang
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Uniqueness of optimal symplectic connections
Forum of Mathematics, Sigma, 2021 Consider a holomorphic submersion between compact Kähler manifolds, such that each fibre admits a constantscalar curvature Kähler metric. When the fibres admit continuous automorphisms, a choice of fibrewise constant scalarcurvature Kähler metric is not ...
Ruadhaí Dervan, Lars Martin Sektnan
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Constant Scalar Curvature Equation and Regularity of Its Weak Solution [PDF]
Communications on Pure and Applied Mathematics, 2017 In this paper we study the constant scalar curvature equation (CSCK), a nonlinear fourth‐order elliptic equation, and its weak solutions on Kähler manifolds. We first define the notion of a weak solution of CSCK for an L∞ Kähler metric.
Weiyong He, Yu Zeng
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On the constant scalar curvature Kähler metrics (I)—A priori estimates
Journal of The American Mathematical Society, 2017 In this paper, we derive apriori estimates for constant scalar curvature Kähler metrics on a compact Kähler manifold. We show that higher order derivatives can be estimated in terms of a C 0 C^0 bound for the Kähler potential.
Xiuxiong Chen, Jingrui Cheng
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On the transverse Scalar Curvature of a Compact Sasaki Manifold
Complex Manifolds, 2014 We show that the standard picture regarding the notion of stability of constant scalar curvature metrics in Kähler geometry described by S.K. Donaldson [10, 11], which involves the geometry of infinitedimensional groups and spaces, can be applied to the ...
He Weiyong
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