Curvature properties of -natural contact metric structures on unit tangent sphere bundles.
Curvature properties of φ-null Osserman Lorentzian S-manifolds
We expound some results about the relationships between the Jacobi operators with respect to null vectors on a Lorentzian S-manifold and the Jacobi operators with respect to particular spacelike unit vectors. We study the number of the eigenvalues of such operators on Lorentzian S-manifolds satisfying the φ-null Osserman condition, under suitable assumptions on the dimension of the manifold. Then, we provide in full generality a new curvature characterization for Lorentzian S-manifolds and we use...
Curvature surfaces of Hopf Hypersurfaces in complex space forms.
Curvature Tensor Of Pseudo Metric Semi-Symmetric Connexions In An Almost Contact Metric Mainfold
Curvature tensor of pseudo metric semi-symmetric connexions in an almost contact metric manifold.
Curvature tensors and Ricci solitons with respect to Zamkovoy connection in anti-invariant submanifolds of trans-Sasakian manifold
The present paper deals with the study of some properties of anti-invariant submanifolds of trans-Sasakian manifold with respect to a new non-metric affine connection called Zamkovoy connection. The nature of Ricci flat, concircularly flat, -projectively flat, -projectively flat, --projectively flat, pseudo projectively flat and -pseudo projectively flat anti-invariant submanifolds of trans-Sasakian manifold admitting Zamkovoy connection are discussed. Moreover, Ricci solitons on Ricci flat,...
Curvature tensors and Singer invariants of four-dimensional homogeneous spaces
We show that the Singer invariant of a four-dimensional homogeneous space is at most .
Curvature tensors in dimension four which do not belong to any curvature homogeneous space
A six-parameter family is constructed of (algebraic) Riemannian curvature tensors in dimension four which do not belong to any curvature homogeneous space. Also a general method is given for a possible extension of this result.
Curvature tensors of complex and double-quadratic elliptic spaces.
Curvature tensors on -Einstein Sasakian manifolds.
Curvature testing in 3-dimensional metric polyhedral complexes.
Curvature-decreasing maps are volume-decreasing. On joint work with G. Besson and G. Courtois.
Curvatures of the diagonal lift from an affine manifold to the linear frame bundle
We investigate the curvature of the so-called diagonal lift from an affine manifold to the linear frame bundle LM. This is an affine analogue (but not a direct generalization) of the Sasaki-Mok metric on LM investigated by L.A. Cordero and M. de León in 1986. The Sasaki-Mok metric is constructed over a Riemannian manifold as base manifold. We receive analogous and, surprisingly, even stronger results in our affine setting.
Curve shortening flow and the Banchoff-Pohl inequality on surfaces of nonpositive curvature.
Curve shortening on surfaces
Curved Casimir operators and the BGG machinery.
Curved flats in symmetric spaces.
Curves in Lorentzian spaces
The notion of ``hyperbolic'' angle between any two time-like directions in the Lorentzian plane was properly defined and studied by Birman and Nomizu [1,2]. In this article, we define the notion of hyperbolic angle between any two non-null directions in and we define a measure on the set of these hyperbolic angles. As an application, we extend Scofield's work on the Euclidean curves of constant precession [9] to the Lorentzian setting, thus expliciting space-like curves in whose natural equations...
Curves in P² and symplectic packings.
Curves of minimal order.