Add to ORKGAbstract In a previous paper, we determined the possi-ble pointwise symmetry groups of sectional curvature con-sidered as a rational function. We determined the naturally reductive homogeneous spaces with constant symmetry, and gave general descriptions of some examples of them. Here, we exhibit explicit forms of the metric tensors on some of these examples. We also give some inhomogeneous examples utilizing warped products, and begin the study of how the symmetry type can vary on a connected space
We introduce a geometric invariant that we call the index of symmetry, which measures how far is a R...
There are very few examples of Riemannian manifolds with positive sectionalcurvature known. In fact ...
Formulas for the Riemann and Ricci curvature tensors of an invariant metric on a Lie group are deter...
Abstract In dimension three, there are only two signatures of metric tensors: Lorentzian and Riemann...
The sectional curvature of the invariant metrics on the homogeneous spaces which are diffeomorphic t...
ABSTRACT. We classify constant mean curvature surfaces invariant by a 1-parameter group of isometrie...
We classify constant mean curvature surfaces invariant by a 1-parameter group of isometries in the B...
We present a new method for classifying naturally reductive homogeneous spaces – i.e.homogeneous Rie...
In this paper we show that away from umbilic points certain measures of the local reflectional symme...
This thesis contains two main areas of research in General Relativity Theory. These are the study o...
summary:An explicit classification of the spaces in the title is given. The resulting spaces are loc...
In this paper we show that away from umbilic points certain measures of the local reflectional symme...
When a homogeneous space admits an invariant affine connection? If there exists at least one invaria...
We study the hypersurfaces of Euclidean space $E^n^+^1$ satisfying the condition $C\cdot\ C=fQ(g,C)$...
Abstract. This paper has two purposes. (1) Holomorphic sectional curvature and ξ-sectional curvature...
We introduce a geometric invariant that we call the index of symmetry, which measures how far is a R...
There are very few examples of Riemannian manifolds with positive sectionalcurvature known. In fact ...
Formulas for the Riemann and Ricci curvature tensors of an invariant metric on a Lie group are deter...
Abstract In dimension three, there are only two signatures of metric tensors: Lorentzian and Riemann...
The sectional curvature of the invariant metrics on the homogeneous spaces which are diffeomorphic t...
ABSTRACT. We classify constant mean curvature surfaces invariant by a 1-parameter group of isometrie...
We classify constant mean curvature surfaces invariant by a 1-parameter group of isometries in the B...
We present a new method for classifying naturally reductive homogeneous spaces – i.e.homogeneous Rie...
In this paper we show that away from umbilic points certain measures of the local reflectional symme...
This thesis contains two main areas of research in General Relativity Theory. These are the study o...
summary:An explicit classification of the spaces in the title is given. The resulting spaces are loc...
In this paper we show that away from umbilic points certain measures of the local reflectional symme...
When a homogeneous space admits an invariant affine connection? If there exists at least one invaria...
We study the hypersurfaces of Euclidean space $E^n^+^1$ satisfying the condition $C\cdot\ C=fQ(g,C)$...
Abstract. This paper has two purposes. (1) Holomorphic sectional curvature and ξ-sectional curvature...
We introduce a geometric invariant that we call the index of symmetry, which measures how far is a R...
There are very few examples of Riemannian manifolds with positive sectionalcurvature known. In fact ...
Formulas for the Riemann and Ricci curvature tensors of an invariant metric on a Lie group are deter...