Results 41 to 50 of about 79,734 (334)
Rigidity theorems for compact Bach-flat manifolds with positive constant scalar curvature [PDF]
Hokkaido Mathematical Journal, 2017 In this paper, we prove some rigidity theorems for compact Bach-flat $n$-manifold with the positive constant scalar curvature. In particular, our conditions in Theorem 1.4 have the additional properties of being sharp.
Hai-Ping Fu, Jian-Ke Peng
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Higher-dimensional inhomogeneous perfect fluid collapse in f(R) gravity
European Physical Journal C: Particles and Fields, 2017 This paper is about the $$n+2$$ n + 2 -dimensional gravitational contraction of an inhomogeneous fluid without heat flux in the framework of a f(R) metric theory of gravity.
G. Abbas +3 more
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Submanifolds with constant scalar curvature [PDF]
Kodai Mathematical Journal, 2004 Let \(M^n\) be a compact submanifold of \(S^{n+p}(c)\) with constant scalar curvature. In this paper, we prove that if the squared norm \(S\) of the second fundamental form satisfies a certain inequality, then \(M^n\) is a totally umbilic or equality holds and we described all \(M^n\) that satisfy this equality.
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Some classifications of biharmonic hypersurfaces with constant scalar curvature [PDF]
Pacific Journal of Mathematics, 2017 We give some classifications of biharmonic hypersurfaces with constant scalar curvature. These include biharmonic Einstein hypersurfaces in space forms, compact biharmonic hypersurfaces with constant scalar curvature in a sphere, and some complete ...
S. Maeta, Ye-lin Ou
semanticscholar +1 more source
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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Translation hypersurfaces of semi-Euclidean spaces with constant scalar curvature
, 2023 In this paper, we present translation hypersurfaces of semi-Euclidean spaces with zero scalar curvature. In addition, we prove that translation hypersurfaces with constant scalar curvature must have zero scalar curvature in the semi-Euclidean space Rn+1 ...
Derya Sağlam +3 more
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Closed 3-dimensional hypersurfaces with constant mean curvature and constant scalar curvature
Duke Mathematical Journal, 1990 The main geometrical result of the paper is that such a hypersurface with non-negative scalar curvature in a space form is isoparametric, i.e. lies in a family of parallel constant mean curvature hypersurfaces.
de Almeida, Sebastião C. +1 more
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Scalar and vector gauges unification in de Sitter ambient space formalism
Nuclear Physics B, 2022 We consider the massless minimally coupled scalar field in the de Sitter ambient space formalism as a gauge potential or connection field. We construct the scalar gauge theory by helping an arbitrary constant five-vector field Bα analogous to the ...
M.V. Takook
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The curvature and topological properties of hypersurfaces with constant scalar curvature [PDF]
Bulletin of the Australian Mathematical Society, 2004 In this paper, we consider n (n ≥ 3)-dimensional compact oriented connected hypersurfaces with constant scalar curvature n(n − 1)r in the unit sphere Sn+1(1). We prove that, if r ≥ (n − 2)/(n − 1) and S ≤ (n − 1)(n(r − 1) + 2)/(n − 2) + (n − 2)/(n(r − 1) + 2), then either M is diffeomorphic to a spherical space form if n = 3; or M is homeomorphic to a ...
Shu, Shichang, Liu, Sanyang
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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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