Results 11 to 20 of about 79,734 (334)

Smoothing singular constant scalar curvature Kähler surfaces and minimal Lagrangians

open access: yesAdvances in Mathematics, 2015
International audienceGiven a complex surface X with singularities of class T and no nontrivial holomorphic vector field, endowed with a Kähler class Ω 0 , we consider smoothings (M t , Ω t ), where Ω t is a Kähler class on M t degenerating to Ω 0 .Under
Yann Rollin
exaly   +3 more sources

On the isolation phenomena of locally conformally flat manifolds with constant scalar curvature – Submanifolds versions

open access: yesJournal of Mathematical Analysis and Applications, 2018
In this paper, from the viewpoint of submanifold theory, we study the isolation phenomena of Riemannian manifolds with constant scalar curvature and vanishing Weyl conformal curvature tensor.
Xiuxiu Cheng, Zejun Hu
exaly   +2 more sources

Effective Gravitational “Constant” in Scalar-(Curvature)Tensor and Scalar-Torsion Gravities

open access: yesUniverse, 2017
In theories where a scalar field couples nonminimally to gravity, the effective gravitational “constant” becomes dependent on the value of the scalar field.
Laur Järv
doaj   +2 more sources

Constant scalar curvature Kähler metrics on rational surfaces [PDF]

open access: yesMathematische Nachrichten, 2017
We consider projective rational strong Calabi dream surfaces: projective smooth rational surfaces which admit a constant scalar curvature Kähler metric for every Kähler class.
J. Martínez-García
semanticscholar   +3 more sources

Randers Metrics of Constant Scalar Curvature

open access: yesCanadian Mathematical Bulletin, 2013
Abstract.Randers metrics are a special class of Finsler metrics. Every Randers metric can be expressed in terms of a Riemannian metric and a vector field via Zermelo navigation. In this paper, we show that a Randers metric has constant scalar curvature if the Riemannian metric has constant scalar curvature and the vector field is ...
Sevim, Esra Sengelen, Shen, Zhongmin
openaire   +2 more sources

On the resolution of extremal and constant scalar curvature Kaehler orbifolds [PDF]

open access: yesInternational Mathematics Research Notices, 2015
In this paper we give sufficient conditions on a compact orbifold with an extremal Kaehler metric to admit a resolution with an extremal Kaehler metric. We also complete the Kaehler constant scalar curvature case.
C. Arezzo, R. Lena, L. Mazzieri
semanticscholar   +5 more sources

Uniqueness of constant scalar curvature Sasakian metrics [PDF]

open access: yesAnnals of Global Analysis and Geometry, 2015
In this paper, we prove that the transverse Mabuchi K-energy functional is convex along the weak geodesic in the space of Sasakian metrics. As an application, we obtain the uniqueness of constant scalar curvature Sasakian metrics modulo automorphisms for
Xishen Jin, Xi Zhang
semanticscholar   +4 more sources

On generalized m-quasi-Einstein manifolds with constant scalar curvature

open access: yesJournal of Mathematical Analysis and Applications, 2015
We study generalized m-quasi-Einstein manifolds with constant scalar curvature. First, we establish a classification of generalized m-quasi-Einstein manifolds with parallel Ricci tensor. Second, and particularly, if an m-quasi-Einstein manifold possesses
Zejun Hu
exaly   +2 more sources

Spherically symmetric space–times with constant curvature scalar

open access: yesJournal of Mathematical Physics, 2001
In view of the geometrical importance of spaces with constant scalar curvature, a systematic study of spherically symmetric such space–time manifolds with respect to the eigenvalues of the Ricci tensor is made. The cases of two double or one quadruple eigenvalue are treated exhaustively.
Goenner, Hubert F. M., Havas, P.
openaire   +3 more sources

Constant Scalar Curvature of Toric Fibrations

open access: yes, 2014
We study the conditions under which a fibration of toric varieties, fibered over a flag variety, admits a constant scalar curvature Kähler metric. We first provide an introduction to toric varieties and toric fibrations and derive the scalar curvature equation.
Nyberg, Thomas
openaire   +4 more sources

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