On the eta invariant, stable positive scalar curvature, and Higher -genera.
On the Existence of Closed Geodesics on Spherical Manifolds.
On the existence of killing tensor fields of type q in a compact Riemannian manifold
On the filling radius of positively curved manifolds.
On the first eigenvalue of the Laplacian for compact submanifolds of Euclidean space.
On the four-dimensional -manifolds of positive Ricci curvature.
On the Fundamental Group of a Visibility Manifold.
On the Fundamental Group of Non-Positively Curved Manifolds.
On the Gauss-Kronecker Curvature Tensors.
On the geodesics flow of tori without conjugate points.
On the geometric meaning of the classical equation of Gauss.
On the geometry of tangent bundles with a class of metrics
We introduce a class of metrics on the tangent bundle of a Riemannian manifold and find the Levi-Civita connections of these metrics. Then by using the Levi-Civita connection, we study the conformal vector fields on the tangent bundle of the Riemannian manifold. Finally, we obtain some relations between the flatness (resp. local symmetry) properties of the tangent bundle and the flatness (resp. local symmetry) on the base manifold.
On the harmonic and Killing tensor field on a compact Riemannian manifold.
On the Heat Equation and the Index Theorem.
On the Index of Callias-type Operators.
On the Initial-Boundary Value Problem for Harmonic Maps from the 2-Dimensional Minkowski Space.
On the intrinsic geometry of a unit vector field
We study the geometrical properties of a unit vector field on a Riemannian 2-manifold, considering the field as a local imbedding of the manifold into its tangent sphere bundle with the Sasaki metric. For the case of constant curvature , we give a description of the totally geodesic unit vector fields for and and prove a non-existence result for . We also found a family of vector fields on the hyperbolic 2-plane of curvature which generate foliations on with leaves of constant intrinsic...
On the irreducibility and inequivalence of unitary representations of gauge groups
On the Killing tensor fields on a compact Riemannian manifold.
On the Martin compactification of a bounded Lipschitz domain in a riemannian manifold
The Martin compactification of a bounded Lipschitz domain is shown to be for a large class of uniformly elliptic second order partial differential operators on .Let be an open Riemannian manifold and let be open relatively compact, connected, with Lipschitz boundary. Then is the Martin compactification of associated with the restriction to of the Laplace-Beltrami operator on . Consequently an open Riemannian manifold has at most one compactification which is a compact Riemannian...