Results 31 to 40 of about 464,650 (293)
Sectional and Ricci Curvature for Three-Dimensional Lie Groups
Journal of Mathematics, 2016 Formulas for the Riemann and Ricci curvature tensors of an invariant metric on a Lie group are determined. The results are applied to a systematic study of the curvature properties of invariant metrics on three-dimensional Lie groups.
Gerard Thompson, Giriraj Bhattarai
doaj +1 more source
Totally geodesic submanifolds of a trans-Sasakian manifold; pp. 249–257 [PDF]
Proceedings of the Estonian Academy of Sciences, 2013 We consider invariant submanifolds of a trans-Sasakian manifold and obtain the conditions under which the submanifolds are totally geodesic. We also study invariant submanifolds of a trans-Sasakian manifold satisfying Z(X, Y).h = 0, where Z is the ...
Avik De
doaj +1 more source
Generic Three-Parameter Wormhole Solution in Einstein-Scalar Field Theory
Particles, 2021 An exact analytical, spherically symmetric, three-parametric wormhole solution has been found in the Einstein-scalar field theory, which covers the several well-known wormhole solutions.
Bobur Turimov +3 more
doaj +1 more source
Curvature Invariants for the Alcubierre and Natário Warp Drives
Universe, 2021 A process for using curvature invariants is applied to evaluate the metrics for the Alcubierre and the Natário warp drives at a constant velocity. Curvature invariants are independent of coordinate bases, so plotting these invariants will be free of ...
Brandon Mattingly +11 more
doaj +1 more source
Disformal invariance of curvature perturbation [PDF]
Journal of Cosmology and Astroparticle Physics, 2016 We show that under a general disformal transformation the linear comoving curvature perturbation is not identically invariant, but is invariant on superhorizon scales for any theory that is disformally related to Horndeski's theory. The difference between disformally related curvature perturbations is found to be given in terms of the comoving density ...
Motohashi, Hayato, White, Jonathan
openaire +2 more sources
Totally umbilical proper slant submanifolds of para-Kenmotsu manifold
Cubo, 2019 In this paper, we study slant submanifolds of a para-Kenmotsu manifold. We prove that totally umbilical slant submanifold of a para-Kenmotsu manifold is either invariant or anti-invariant or dimension of submanifold is 1 or the mean curvature vector H of
M.S. Siddesha, C.S. Bagewadi, D. Nirmala
doaj +1 more source
Geodesics and Curvature of Möbius Invariant Metrics
Rocky Mountain Journal of Mathematics, 2008 A region \(\Omega\) on the Riemann sphere \(\hat{\mathbb{C}}\) is called a quasi-hyperbolic region if \(\hat{\mathbb{C}}\setminus \Omega\) contains at least two points. In this paper the authors examine the Ferrand metric and the Kulkarni-Pinkall metric on \(\Omega\).
Herron, David A. +2 more
openaire +2 more sources
Mean curvature flow with triple junctions in higher space dimensions [PDF]
, 2012 We consider mean curvature ow of n-dimensional surface clusters. At (
Garcke, Harald +2 more
core +1 more source
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
doaj +1 more source
Discrete curvature approximations and segmentation of polyhedral surfaces [PDF]
, 2005 The segmentation of digitized data to divide a free form surface into patches is one of the key steps required to perform a reverse engineering process of an object.
LESAGE, David +2 more
core +1 more source