Results 31 to 40 of about 192,579 (307)
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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European Physical Journal C: Particles and Fields, 2023 The observational data of primordial black holes and scalar-induced gravitational waves can constrain the primordial curvature perturbation at small scales. We parameterize the primordial curvature perturbation by a broken power law form and find that it
Zhu Yi, Qin Fei
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Rigidity of noncompact complete Bach-flat manifolds
, 2010 Let $(M,g)$ be a noncompact complete Bach-flat manifold with positive Yamabe constant. We prove that $(M,g)$ is flat if $(M, g)$ has zero scalar curvature and sufficiently small $L_{2}$ bound of curvature tensor.
Anderson +15 more
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AIMS MathematicsThe Ricci curvature in Finsler geometry naturally generalizes the Ricci curvature in Riemannian geometry. In this paper, we study the -th root metric with weakly isotropic scalar curvature and obtain that its scalar curvature must vanish.
Xiaoling Zhang, Cuiling Ma, Lili Zhao
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Black Holes have Intrinsic Scalar Curvature
Reports in Advances of Physical Sciences, 2023 The scalar curvature R is invariant under isometric symmetries (distance invariance) associated with metric spaces. Gravitational Riemannian manifolds are metric spaces.
P. D. Morley
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Enlargeable metrics on nonspin manifolds
, 2019 We show that an enlargeable Riemannian metric on a (possibly nonspin) manifold cannot have uniformly positive scalar curvature. This extends a well-known result of Gromov and Lawson to the nonspin setting.
Cecchini, Simone, Schick, Thomas
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Transactions of the American Mathematical Society, 1987 A theorem for the existence of solutions of the nonlinear elliptic equation − Δ u + 2 = R ( x ) e u , x ∈ S 2 - \Delta u + 2 = R(x){e^u},\;x \in ...
Wen Xiong Chen, Wei Yue Ding
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Mathematische Annalen, 1989 The author studies the question whether a given smooth function K on \(S^ n\) is the scalar curvature of a metric conformal to the standard metric. Not all functions can be realized - obstructions have been found by Kazdan-Warner and Bourguignon-Ezin. The author gives various sufficient conditions, related to work of Escobar and Schoen, for a positive ...
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Intrinsic problems of the gravitational baryogenesis
Physics Letters B, 2017 Modification of gravity due to the curvature dependent term in the gravitational baryogenesis scenario is considered. It is shown that this term leads to the fourth order differential equation of motion for the curvature scalar instead of the algebraic ...
E.V. Arbuzova, A.D. Dolgov
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Derivative couplings in gravitational production in the early universe
Journal of High Energy Physics, 2020 Gravitational particle production in the early universe is due to the coupling of matter fields to curvature. This coupling may include derivative terms that modify the kinetic term.
Daniel E. Borrajo Gutiérrez +3 more
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