The nullity spaces of the curvature operator
Robert Maltz (1966)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
Similarity:
Displaying similar documents to “A characterization of the Grassmann manifold . Another review.”
The nullity spaces of the curvature operator
Geodesic reflections in semi-Riemannian geometry
Eduardo García-Río, M. Elena Vázquez-Abal (1993)
Czechoslovak Mathematical Journal
Similarity:
On totally umbilical submanifolds of manifolds with certain recurrent condition imposed on the curvature tensor.
Ewert-Krzemieniewski, Stanisław (1994)
Mathematica Pannonica
Similarity:
A note on geodesic mappings of pseudosymmetric Riemannian manifolds
Filip Defever, Ryszard Deszcz (1991)
Colloquium Mathematicae
Similarity:
On the energy of unit vector fields with isolated singularities
Fabiano Brito, Paweł Walczak (2000)
Annales Polonici Mathematici
Similarity:
We consider the energy of a unit vector field defined on a compact Riemannian manifold M except at finitely many points. We obtain an estimate of the energy from below which appears to be sharp when M is a sphere of dimension >3. In this case, the minimum of energy is attained if and only if the vector field is totally geodesic with two singularities situated at two antipodal points (at the 'south and north pole').
Geodesic spheres and isometric flows
J. González-Dávila, L. Vanhecke (1994)
Colloquium Mathematicae
Similarity:
Curvature properties of φ-null Osserman Lorentzian S-manifolds
Letizia Brunetti, Angelo Caldarella (2014)
Open Mathematics
Similarity:
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...