Add to ORKGsummary:Riemannian manifolds for which a natural skew-symmetric curvature operator has constant eigenvalues on helices are studied. A local classification in dimension three is given. In the three dimensional case one gets all locally symmetric spaces and all Riemannian manifolds with the constant principal Ricci curvatures $r_1 = r_2 = 0, r_3 \ne 0$, which are not locally homogeneous, in general
summary:We extend a construction by K. Yamato [Ya] to obtain new explicit examples of Riemannian 3-m...
In this dissertation, we begin by characterizing the left-invariant Riemannian metrics on S3 possess...
The problem of establishing links between the curvature and the structure of a manifold is one of th...
summary:Riemannian manifolds for which a natural skew-symmetric curvature operator has constant eige...
AbstractOne studies two classes of Riemannian manifolds which extend the class of locally symmetric ...
We study three-dimensional pseudo-Riemannian manifolds having distinct constant principal Ricci curv...
A relatively new area of interest in differential geometry involves determining if a model space has...
AbstractWe study three-dimensional pseudo-Riemannian manifolds having distinct constant principal Ri...
summary:The first author and F. Prufer gave an explicit classification of all Riemannian 3-manifolds...
The curvature tensor is the most important isometry invariant of a Riemannian metric. We study sever...
We study three-dimensional curvature homogeneous Lorentzian manifolds. We prove that for all Segre t...
Abstract. In this expository note, we survey some recent results in the pseudo-Riemannian setting gi...
The curvature tensor is the most important isometry invariant of a Riemannian metric. We study sever...
A central problem in differential geometry is to relate algebraic properties of the Riemann curvatur...
It is proved that a compact Kähler manifold whose Ricci tensor has two distinct constant non-negati...
summary:We extend a construction by K. Yamato [Ya] to obtain new explicit examples of Riemannian 3-m...
In this dissertation, we begin by characterizing the left-invariant Riemannian metrics on S3 possess...
The problem of establishing links between the curvature and the structure of a manifold is one of th...
summary:Riemannian manifolds for which a natural skew-symmetric curvature operator has constant eige...
AbstractOne studies two classes of Riemannian manifolds which extend the class of locally symmetric ...
We study three-dimensional pseudo-Riemannian manifolds having distinct constant principal Ricci curv...
A relatively new area of interest in differential geometry involves determining if a model space has...
AbstractWe study three-dimensional pseudo-Riemannian manifolds having distinct constant principal Ri...
summary:The first author and F. Prufer gave an explicit classification of all Riemannian 3-manifolds...
The curvature tensor is the most important isometry invariant of a Riemannian metric. We study sever...
We study three-dimensional curvature homogeneous Lorentzian manifolds. We prove that for all Segre t...
Abstract. In this expository note, we survey some recent results in the pseudo-Riemannian setting gi...
The curvature tensor is the most important isometry invariant of a Riemannian metric. We study sever...
A central problem in differential geometry is to relate algebraic properties of the Riemann curvatur...
It is proved that a compact Kähler manifold whose Ricci tensor has two distinct constant non-negati...
summary:We extend a construction by K. Yamato [Ya] to obtain new explicit examples of Riemannian 3-m...
In this dissertation, we begin by characterizing the left-invariant Riemannian metrics on S3 possess...
The problem of establishing links between the curvature and the structure of a manifold is one of th...