Results 51 to 60 of about 681,612 (344)
Scalar curvature on compact complex manifolds [PDF]
Transactions of the American Mathematical Society, 2017 In this paper, we prove that, a compact complex manifold $X$ admits a smooth Hermitian metric with positive (resp. negative) scalar curvature if and only if $K_X$ (resp. $K_X^{-1}$) is not pseudo-effective.
Xiaokui Yang
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Heterotic reduction of Courant algebroid connections and Einstein–Hilbert actions
Nuclear Physics B, 2016 We discuss Levi-Civita connections on Courant algebroids. We define an appropriate generalization of the curvature tensor and compute the corresponding scalar curvatures in the exact and heterotic case, leading to generalized (bosonic) Einstein–Hilbert ...
Branislav Jurčo, Jan Vysoký
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On the scalar curvature and sectional curvatures of a Kaehler submanifold [PDF]
Proceedings of the American Mathematical Society, 1973 For a Kaehler submanifold of a complex space form, pinching for scalar curvature implies pinching for sectional curvatures. 1 . Statement of result. The scalar curvature is, by definition, the sum of Ricci curvatures with respect to an orthonormal basis of the tangent space, and the Ricci curvature is the sum of sectional curvatures.
Koichi Ogiue, Bang-yen Chen
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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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Convergence of Ricci flows with bounded scalar curvature [PDF]
, 2016 In this paper we prove convergence and compactness results for Ricci flows with bounded scalar curvature and entropy. More specifically, we show that Ricci flows with bounded scalar curvature converge smoothly away from a singular set of codimension ...
R. Bamler
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Remarks on critical metrics of the scalar curvature and volume functionals on compact manifolds with boundary [PDF]
Pacific Journal of Mathematics, 2017 We provide a general B\"ochner type formula which enables us to prove some rigidity results for $V$-static spaces. In particular, we show that an $n$-dimensional positive static triple with connected boundary and positive scalar curvature must be ...
H. Baltazar, E. Ribeiro
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On the scalar curvature of complex surfaces [PDF]
Geometric and Functional Analysis, 1995 10 pages, LaTeX, with optional \Bbb font replaceable by ...
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Two dimensional kinematic surfaces with constant scalar curvature in Lorentz-Minkowski 7-space
Nonlinear Engineering, 2017 In this paper we analyzed the problem of studying locally the scalar curvature S of the two dimensional kinematic surfaces obtained by the homothetic motion of a helix in Lorentz-Minkowski space E17 $\text{E}^7_1$ .
Solouma E. M., Wageeda M. M.
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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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Blowing up and desingularizing constant scalar curvature K\"{a}hler manifolds
, 2005 This paper is concerned with the existence of constant scalar curvature Kaehler metrics on blow ups at finitely many points of compact manifolds which already carry constant scalar curvature Kaehler metrics.
Arezzo, Claudio, Pacard, Frank
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