Rigidity of hypersurfaces of constant scalar curvature [PDF]
, 1971 Carlos Edgard Harle
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On stability and scalar curvature rigidity of quaternion-Kähler manifolds [PDF]
arXivWe show that every quaternion-K\"ahler manifold of negative scalar curvature is stable as an Einstein manifold and therefore scalar curvature rigid. In particular, this implies that every irreducible nonpositive Einstein manifold of special holonomy is stable. In contrast, we demonstrate that there exist quaternion-K\"ahler manifolds of positive scalar
arxiv
Complex submanifolds with constant scalar curvature in a Kaehler manifold [PDF]
, 1975 Masahiro Kon
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Hagedorn temperature from the thermal scalar in AdS and pp-wave backgrounds
Journal of High Energy PhysicsWe propose a thermal scalar equation of motion (EOM) that takes into account curvature corrections for backgrounds supported by Ramond-Ramond fluxes.
Troels Harmark
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Scalar curvature lower bounds on asymptotically flat manifolds [PDF]
arXivIn this paper, we consider the scalar curvature in the distributional sense of \cite{MR3366052} and the scalar curvature lower bound in the $\beta-$weak $(\beta\in(0, \frac{1}{2}))$ sense of \cite{MR4685089} on an asymptotically flat $n-$manifold with a $W^{1,p}(p>n)$ metric.
arxiv
The existence results for solutions of indefinite scalar curvature problem [PDF]
arXiv, 2008 In this paper, we consider the indefinite scalar curvature problem on $R^n$. We propose new conditions on the prescribing scalar curvature function such that the scalar curvature problem on $R^n$ (similarly, on $S^n$) has at least one solution. The key observation in our proof is that we use the bifurcation method to get a large solution and then after
arxiv
Kaehlerian manifolds with constant scalar curvature whose Bochner curvature tensor vanishes [PDF]
, 1974 Kentarô Yano, Shigeru Ishihara
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Einstein like -para Sasakian manifolds
Kuwait Journal of Science, 2013 Einstein like -para Sasakian manifolds are introduced. For an -para Sasakian manifold to be Einstein like, a necessary and sufficient condition in terms of its curvature tensor is obtained.
SADIK KELES +3 more
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On Curvature Pinching for Submanifolds with Parallel Normalized Mean Curvature Vector
MathematicsIn this note, we investigate the pinching problem for oriented compact submanifolds of dimension n with parallel normalized mean curvature vector in a space form Fn+p(c).
Juanru Gu, Yao Lu
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Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity with backreactions
Physics Letters B, 2021 We construct the holographic superconductors away from the probe limit in the consistent D→4 Einstein-Gauss-Bonnet gravity. We observe that, both for the ground state and excited states, the critical temperature first decreases then increases as the ...
Jie Pan +5 more
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