Abstract
In this paper after reporting on Tanno and Weber conditions linked with closed conformal vector fields for a Riemannian compact manifold to be isometric with Euclidean sphere, we prove that if a metric conformal to the induced one on a hypersurface of a (n + 1)-dimensional manifold with nonpositive constant sectional curvature has constant scalar curvature equal to 2n - 3, then the ambient space is Euclidean space. (author). 10 refs.
Citation Formats
Ezin, J P.
Scalar curvature and spherical-type Riemannian manifolds.
IAEA: N. p.,
1992.
Web.
Ezin, J P.
Scalar curvature and spherical-type Riemannian manifolds.
IAEA.
Ezin, J P.
1992.
"Scalar curvature and spherical-type Riemannian manifolds."
IAEA.
@misc{etde_10144726,
title = {Scalar curvature and spherical-type Riemannian manifolds}
author = {Ezin, J P}
abstractNote = {In this paper after reporting on Tanno and Weber conditions linked with closed conformal vector fields for a Riemannian compact manifold to be isometric with Euclidean sphere, we prove that if a metric conformal to the induced one on a hypersurface of a (n + 1)-dimensional manifold with nonpositive constant sectional curvature has constant scalar curvature equal to 2n - 3, then the ambient space is Euclidean space. (author). 10 refs.}
place = {IAEA}
year = {1992}
month = {Oct}
}
title = {Scalar curvature and spherical-type Riemannian manifolds}
author = {Ezin, J P}
abstractNote = {In this paper after reporting on Tanno and Weber conditions linked with closed conformal vector fields for a Riemannian compact manifold to be isometric with Euclidean sphere, we prove that if a metric conformal to the induced one on a hypersurface of a (n + 1)-dimensional manifold with nonpositive constant sectional curvature has constant scalar curvature equal to 2n - 3, then the ambient space is Euclidean space. (author). 10 refs.}
place = {IAEA}
year = {1992}
month = {Oct}
}