Results 111 to 120 of about 298,518 (247)

Kaehlerian manifolds with constant scalar curvature admitting a holomorphically projective vector field [PDF]

, 1979
Kentarô Yano, Hitosi Hiramatu
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Scalar curvature and projective embeddings, II [PDF]

The Quarterly Journal of Mathematics, 2001
The paper uses the technique of finite-dimensional approximation to show that a constant scalr curvature Kahler metric (on a polarised algebraic variety without holomorphic vector fields) minimises the Mabuchi functional.
openaire   +5 more sources

Multiply Warped Products with a Semisymmetric Metric Connection

Abstract and Applied Analysis, 2014
We study the Einstein multiply warped products with a semisymmetric metric connection and the multiply warped products with a semisymmetric metric connection with constant scalar curvature, and we apply our results to generalized Robertson-Walker space ...
Yong Wang
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Minimal hypersurfaces in $\mathbb{S}^5$ with constant scalar curvature and zero Gauss curvature are totally geodesic [PDF]

arXiv
We show that a closed minimal hypersurface in $\mathbb{S}^5$ with constant scalar curvature and zero Gauss curvature is totally geodesic.
arxiv  

Curvature Estimates for Four-Dimensional Gradient Steady Ricci Solitons [PDF]

arXiv, 2014
In this paper, we derive certain curvature estimates for 4-dimensional gradient steady Ricci solitons either with positive Ricci curvature or with scalar curvature decay.
arxiv  

Manifolds of Riemannian metrics with prescribed scalar curvature [PDF]

, 1974
Arthur E. Fischer, Jerrold E. Marsden
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Hyperbolic inflationary model with nonzero curvature

Physics Letters B, 2022
We consider a cosmological model consisting of two scalar fields defined in the hyperbolic plane known as hyperbolic inflation. For the background space, we consider a homogeneous and isotropic spacetime with nonzero curvature.
Andronikos Paliathanasis, Genly Leon
doaj  

Riemannian curvature: variations on different notions of positivity [PDF]

Habilitation thesis, July 2006, Montpellier II University, France, 2006
We study different notions of Riemannian curvatures: The $p$-curvatures which interpolate between the scalar curvature and the sectional curvature, the Gauss-Bonnet-Weyl curvatures form another interpolation from the scalar curvature to the Gauss-Bonnet integrand. We bring out the $(p,q)$-curvatures, which incorporate all the previous curvatures.
arxiv  

Scalar curvature of self-shrinker [PDF]

Journal of the Mathematical Society of Japan, 2018
In this paper, we consider the scalar curvature of a self-shrinker and get the gap theorem of the scalar curvature. We get also a relationship between the upper bound of the square of the length of the second fundamental form and the Ricci mean value.
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Complete Yamabe solitons with finite total scalar curvature [PDF]

arXiv, 2017
In this paper, we show that steady or shrinking complete gradient Yamabe solitons with finite total scalar curvature and non-positive Ricci curvature are Ricci flat. Moreover, under certain pinching condition for Ricci curvature, we show that steady or shrinking complete gradient Yamabe solitons with finite total scalar curvature and non-positive ...
arxiv