Results 71 to 80 of about 2,543 (168)

Gauss–Bonnet effects in $$f(R,\Sigma ,T)$$ f ( R , Σ , T ) gravity

European Physical Journal C: Particles and Fields
We investigate the cosmological dynamics of Parameterized Absolute Parallelism (PAP) geometry within the framework of modified $$f(R,\Sigma ,T)$$ f ( R , Σ , T ) gravity.
Tahia F. Dabash, A. Eid, M. A. Bakry
doaj   +1 more source

A radiating star in Einstein-Gauss-Bonnet gravity

Nuclear Physics B
We generate a radiating star in Einstein-Gauss-Bonnet (EGB) gravity for spacetime dimension N=5 and a shear-free geometry. The temporal boundary condition contains curvature corrections from the Lovelock tensor and reduces to the general relativity limit.
Sunil D. Maharaj, Byron P. Brassel, Sumeekha Singh, Keshlan S. Govinder   +3 more
doaj   +1 more source

Rigidity theorems of Clifford Torus

Anais da Academia Brasileira de Ciências, 2001
Let M be an n-dimensional closed minimally immersed hypersurface in the unit sphere Sn + 1. Assume in addition that M has constant scalar curvature or constant Gauss-Kronecker curvature. In this note we announce that if M has (n - 1) principal curvatures
SOUSA JR. LUIZ A. M.
doaj  

Neutral surfaces in neutral four-spaces

Le Matematiche, 1990
Properties of the Gauss map of neutral surfaces are studied. Special attention is given to surfaces of parallel, or zero, mean curvature. Bilagrangian structures are defined and used in ways analogous to the use of complex structures in the Riemannian ...
Gary Jensen, Marco Rigoli
doaj  

Area and Gauss–Bonnet inequalities with scalar curvature

Commentarii Mathematici Helvetici
The Gauss–Bonnet theorem states for any compact surface (S,g) that the quantity Q^{S}_{GB}(S)=\int_{S} \operatorname{Sc}(S,s)\,\mathrm{d}s+\int_{\partial S}\mathrm{mean.
Gromov, Misha, Zhu, Jintian
openaire   +3 more sources

Gauss-Bonnet for Form Curvatures

14 pages, 7 ...
openaire   +2 more sources

Positive curvature conditions on contractible manifolds. [PDF]

Math Ann
Sweeney P.
europepmc   +1 more source

A Sharp Quantitative Alexandrov Inequality and Applications to Volume Preserving Geometric Flows in 3D. [PDF]

Arch Ration Mech Anal
Julin V, Morini M, Oronzio F, Spadaro E.
europepmc   +1 more source

Evolutions of partner-ruled surfaces with simultaneous inextensibility conditions. [PDF]

PLoS One
Eren K, Ersoy S, Khan MNI.
europepmc   +1 more source

WHAT IS... Gauss Curvature?

Notices of the American Mathematical Society, 2016
openaire   +1 more source