On the existence of bounded holomorphic functions on complete Kähler manifolds.
On the existence of certain types of Riemannian metrics
On the Existence of Closed Geodesics on Spherical Manifolds.
On the existence of convex hypersurfaces with prescribed mean curvature
On the existence of escaping geodesics.
On the existence of f-recurrent (LCS)n-manifolds.
On the existence of generalized quasi-Einstein manifolds
The object of the present paper is to study a type of Riemannian manifold called generalized quasi-Einstein manifold. The existence of a generalized quasi-Einstein manifold have been proved by non-trivial examples.
On the existence of geodesics in static Lorentz manifolds with singular boundary
On the existence of killing tensor fields of type q in a compact Riemannian manifold
On the existence of linear connection valued concomitants of geometric objects
On the existence of minimal hyperspheres in compact symmetric spaces
On the existence of multiple geodesics in static space-times
On the existence of parallel normal vector fields of surfaces in
On the existence of positive solutions of semilinear elliptic equations with Dirichlet boundary conditions.
On the existence of prolongations of connections by bundle functors.
On the existence of pseudosymmetric Kähler manifolds
It is proved that there exists a non-semisymmetric pseudosymmetric Kähler manifold of dimension 4.
On the exponential function of an ordered manifold with affine connection.
On the - theorems
On the filling radius of positively curved manifolds.
On the finiteness of the fundamental group of a compact shrinking Ricci soliton
Myers's classical theorem says that a compact Riemannian manifold with positive Ricci curvature has finite fundamental group. Using Ambrose's compactness criterion or J. Lott's results, M. Fernández-López and E. García-Río showed that the finiteness of the fundamental group remains valid for a compact shrinking Ricci soliton. We give a self-contained proof of this fact by estimating the lengths of shortest geodesic loops in each homotopy class.