Results 21 to 30 of about 693,970 (340)
Quantitative K-theory, positive scalar curvature, and band width [PDF]
, 2020 We develop two connections between the quantitative framework of operator $K$-theory for geometric $C^*$-algebras and the problem of positive scalar curvature.
Haoyang Guo, Zhizhang Xie, Guoliang Yu
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Horizon curvature and spacetime structure influences on black hole scalarization
European Physical Journal C: Particles and Fields, 2021 Black hole spontaneous scalarization has been attracting more and more attention as it circumvents the well-known no-hair theorems. In this work, we study the scalarization in Einstein–scalar-Gauss–Bonnet theory with a probe scalar field in a black hole ...
Hong Guo +3 more
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On the constant scalar curvature Kähler metrics (II)—Existence results
Journal of The American Mathematical Society, 2020 In this paper, we apply our previous estimates in Chen and Cheng [On the constant scalar curvature Kähler metrics (I): a priori estimates, Preprint] to study the existence of cscK metrics on compact Kähler manifolds. First we prove that the properness of
Xiuxiong Chen, Jingrui Cheng
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Index theory for scalar curvature on manifolds with boundary [PDF]
, 2020 We extend results of Llarull and Goette-Semmelmann to manifolds with boundary.
J. Lott
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Scalar curvature and harmonic maps to $S^1$ [PDF]
Journal of differential geometry, 2019 For a harmonic map $u:M^3\to S^1$ on a closed, oriented $3$--manifold, we establish the identity $$2\pi \int_{\theta\in S^1}\chi(\Sigma_{\theta})\geq \frac{1}{2}\int_{\theta\in S^1}\int_{\Sigma_{\theta}}(|du|^{-2}|Hess(u)|^2+R_M)$$ relating the scalar ...
Daniel Stern
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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.
Chen, Bang-Yen, Ogiue, Koichi
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ON THE FLAG CURVATURE OF FINSLER METRICS OF SCALAR CURVATURE [PDF]
Journal of the London Mathematical Society, 2003 23 ...
Chen, Xinyue +2 more
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Positive scalar curvature and minimal hypersurface singularities [PDF]
Surveys in Differential Geometry, 2017 In this paper we develop methods to extend the minimal hypersurface approach to positive scalar curvature problems to all dimensions. This includes a proof of the positive mass theorem in all dimensions without a spin assumption.
R. Schoen, S. Yau
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On the scalar curvature of Einstein manifolds [PDF]
Mathematical Research Letters, 1997 LaTeX.
Catanese, Fabrizio, LeBrun, Claude
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Electronic Research Archive, 2022 We study the stability of compactness of solutions for the Yamabe boundary problem on a compact Riemannian manifold with non umbilic boundary. We prove that the set of solutions of Yamabe boundary problem is a compact set when perturbing the mean ...
Marco G. Ghimenti +1 more
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