Results 1 to 10 of about 1,170 (92)
Compact spacelike surfaces in the 3-dimensional de Sitter space [PDF]
arXiv, 2005 We state several sufficient conditions for compact spacelike surface in the3-dimensional de Sitter space to be totally geodesic or spherical.Comment: 4 ...
Borisenko, Alexander
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Geometric structures on the tangent bundle of the Einstein spacetime [PDF]
arXiv, 2005 We describe conditions under which a spacetime connection and a scaled Lorentzian metric define natural symplectic and Poisson structures on the tangent bundle of the Einstein ...
Janyška, Josef
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Open Mathematics, 2020 In this paper, we discuss the monotonicity of the first nonzero eigenvalue of the Laplace operator and the p-Laplace operator under a forced mean curvature flow (MCF).
Qi Xuesen, Liu Ximin
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Are There Any Natural Physical Interpretations for Some Elementary Inequalities?
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 We inquire whether there are some fundamental interpretations of elementary inequalities in terms of curvature of a three-dimensional smooth hypersurface in the four-dimensional real ambient space.
Bosko Wladimir G., Suceavă Bogdan D.
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Legendre curves on Lorentzian Heisenberg space
, 2020 In this paper, we show that the Legendre curves on three-dimensional Lorentzian Heisenberg space (H3, g) are locally φsymmetric if and only if they are geodesic.
L. Belarbi, M. Belarbi, H. E. Hendi
semanticscholar +1 more source
Curves in the Lorentz-Minkowski plane with curvature depending on their position
Open Mathematics, 2020 Motivated by the classical Euler elastic curves, David A. Singer posed in 1999 the problem of determining a plane curve whose curvature is given in terms of its position. We propound the same question in the Lorentz-Minkowski plane, focusing on spacelike
Castro Ildefonso +2 more
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Special Einstein's equations on K\"ahler manifolds [PDF]
, 2010 This work is devoted to the study of Einstein equations with a special shape of the energy-momentum tensor. Our results continue Stepanov's classification of Riemannian manifolds according to special properties of the energy-momentum tensor to K\"ahler ...
Hinterleitner, I., Kiosak, V.
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INTEGRAL FORMULAE FOR SPACELIKE HYPERSURFACES IN CONFORMALLY STATIONARY SPACETIMES AND APPLICATIONS
Proceedings of the Edinburgh Mathematical Society, 2003 In this paper we develop general Minkowski-type formulae for compact spacelike hypersurfaces immersed into conformally stationary spacetimes, that is, Lorentzian manifolds admitting a timelike conformal field. We apply them to the study of the umbilicity
L. Alías, A. Brasil, A. Colares
semanticscholar +1 more source
The nonexistence of rank 4 IP tensors in signature (1, 3)
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 5, Page 259-269, 2002., 2002 Let V be a real vector space of dimension 4 with a nondegenerate symmetric bilinear form of signature (1, 3). We show that there exists no algebraic curvature tensor R on V so that its associated skew‐symmetric operator R(⋅) has rank 4 and constant eigenvalues on the Grassmannian of nondegenerate 2‐planes in V.
Kelly Jeanne Pearson, Tan Zhang
wiley +1 more source
Kähler metrics via Lorentzian Geometry in dimension four
Complex Manifolds, 2019 Given a semi-Riemannian 4-manifold (M, g) with two distinguished vector fields satisfying properties determined by their shear, twist and various Lie bracket relations, a family of Kähler metrics gK is constructed, defined on an open set in M, which ...
Aazami Amir Babak, Maschler Gideon
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