Results 91 to 100 of about 298,518 (247)
International Journal of Mathematics and Mathematical Sciences, 2005 We establish inequalities between the Ricci curvature and the squared mean curvature, and also between the k-Ricci curvature and the scalar curvature for a slant, semi-slant, and bi-slant submanifold in a locally conformal almost cosymplectic manifold ...
Dae Won Yoon
doaj +1 more source
Physics Letters B, 2016 A geometric formulation of Higgs Effective Field Theory (HEFT) is presented. Experimental observables are given in terms of geometric invariants of the scalar sigma model sector such as the curvature of the scalar field manifold M.
Rodrigo Alonso +2 more
doaj +1 more source
D'Atri spaces and the total scalar curvature of hemispheres, tubes and cylinders. [PDF]
Rev Mat Complut, 2023 Csikós B, Elnashar A, Horváth M.
europepmc +1 more source
Interior curvature estimates for hypersurfaces of prescribing scalar curvature in dimension three [PDF]
arXiv, 2019 We prove a priori interior curvature estimates for hypersurfaces of prescribing scalar curvature equations in dimension three. The method is motivated by the integral method of Warren and Yuan. The new observation here is that the "Lagrangian" submanifold constructed similarly as Harvey and Lawson has bounded mean curvature if the graph function of a ...
arxiv
Thermodynamic geometry of holographic superconductors
Physics Letters B, 2016 We obtain the thermodynamic geometry of a (2+1) dimensional strongly coupled quantum field theory at a finite temperature in a holographic setup, through the gauge/gravity correspondence.
Sayan Basak +3 more
doaj +1 more source
Measurement of the scalar curvature of high-power lasers. [PDF]
Sci Rep, 2022 Toma A, Postavaru O.
europepmc +1 more source
Estimates and nonexistence of solutions of the scalar curvature equation on noncompact manifolds [PDF]
Proc. Indian Acad. Sci. (Math. Sci.), Vol. 115, No. 3, August
2005, pp. 309-318, 2005 This paper is to study the conformal scalar curvature equation on complete noncompact Riemannian manifold of nonpositive curvature. We derive some estimates and properties of supersolutions of the scalar curvature equation, and obtain some nonexistence results for complete solutions of scalar curvature equation.
arxiv
Deformation of the scalar curvature and the mean curvature
, 2020 On a compact manifold $M$ with boundary $\partial M$, we study the problem of prescribing the scalar curvature in $M$ and the mean curvature on the boundary $\partial M$ simultaneously. To do this, we introduce the notion of singular metric, which is inspired by the early work of Fischer-Marsden in [18] and Lin-Yuan in [23] for closed manifold. We show
Ho, Pak Tung, Huang, Yen-Chang
openaire +2 more sources
ECG Classification Based on Wasserstein Scalar Curvature. [PDF]
Entropy (Basel), 2022 Sun F, Ni Y, Luo Y, Sun H.
europepmc +1 more source
On gradient Ricci solitons with constant scalar curvature [PDF]
arXiv, 2014 We use the theory of isoparametric functions to investigate gradient Ricci solitons with constant scalar curvature. We show rigidity of gradient Ricci solitons with constant scalar curvature under some conditions on the Ricci tensor, which are all satisfied if the manifold is curvature homogeneous.
arxiv