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-Invariants, Inequalities of Submanifolds and Their Applications
The famous Nash embedding theorem was aimed for in the hope that if Riemannian
manifolds could be regarded as Riemannian submanifolds, this would then yield the …
manifolds could be regarded as Riemannian submanifolds, this would then yield the …
[HTML][HTML] Recent Developments on the First Chen Inequality in Differential Geometry
One of the most fundamental interests in submanifold theory is to establish simple
relationships between the main extrinsic invariants and the main intrinsic invariants of …
relationships between the main extrinsic invariants and the main intrinsic invariants of …
[HTML][HTML] Some Basic Inequalities on (ϵ)-Para Sasakian Manifold
We propose fundamental inequalities for contact pseudo-slant submanifolds of (ϵ)-para
Sasakian space form employing generalized normalized δ-Casorati curvature. We …
Sasakian space form employing generalized normalized δ-Casorati curvature. We …
Chen-like inequalities on lightlike hypersurfaces of a Lorentzian manifold
We introduce k-Ricci curvature and k-scalar curvature on lightlike hypersurfaces of a
Lorentzian manifold. We establish some inequalities between the extrinsic scalar curvature …
Lorentzian manifold. We establish some inequalities between the extrinsic scalar curvature …
Chen inequalities on spacelike hypersurfaces of a GRW spacetime
NÖ Poyraz - Differential Geometry and its Applications, 2022 - Elsevier
In this paper, we establish Chen-Ricci inequality and Chen inequalities for spacelike
hypersurfaces in GRW spacetimes. Considering these inequalities, we give some …
hypersurfaces in GRW spacetimes. Considering these inequalities, we give some …
Certain basic inequalities for submanifolds of locally conformal Kaehler space forms
Certain basic inequalities, involving the squared mean curvature and one of the scalar
curvature, the sectional curvature and the Ricci curvature for a submanifold of any …
curvature, the sectional curvature and the Ricci curvature for a submanifold of any …
Some inequalities on screen homothetic lightlike hypersurfaces of a Lorentzian manifold
M Gülbahar, E Kılıç, S Keleş - 2013 - projecteuclid.org
In this paper, we establish some inequalities involving k-Ricci curvature, k-scalar curvature,
the screen scalar curvature on a screen homothetic lightlike hypersurface of a Lorentzian …
the screen scalar curvature on a screen homothetic lightlike hypersurface of a Lorentzian …
[PDF][PDF] Some inequalities for Riemannian submersions
In this paper, we start by studying the scalar curvature of two Riemannian manifolds
admitting a Riemannian submersion. We establish a series of inequalities for Riemannian …
admitting a Riemannian submersion. We establish a series of inequalities for Riemannian …
Chen-Ricci inequality for submanifolds of contact metric manifolds.
A basic inequality for submanifolds of a Riemannian manifold, which involves Ricci
curvature and squared mean curvature of the submanifold, is considered and is named as …
curvature and squared mean curvature of the submanifold, is considered and is named as …
Chen-like inequalities on null hypersurfaces with closed rigging of a Lorentzian manifold
We study null hypersurfaces of a Lorentzian manifold with a closed rigging for the
hypersurface. We derive inequalities involving Ricci tensors, scalar curvature, squared …
hypersurface. We derive inequalities involving Ricci tensors, scalar curvature, squared …