Abstract. We prove that the set of critical values of the distance function from a submanifold of a complete Riemannian manifold is of Lebesgue measure zero. In this way, we extend a result of Itoh and Tanaka. 1
We characterize arbitrary codimensional smooth manifolds M with boundary embedded in Rn using the sq...
AbstractIn this paper we study the existence of a first zero and the oscillatory behavior of solutio...
During the last century, global analysis was one of the main sources of interaction between geometry...
Morse theory is based on the idea that a smooth function on a manifold yields data about the topolog...
Let Ω be an open subset of R n . Consider a differentiable map u : Ω → R m . For many application in...
Abstract The Morse-Sard theorem states that the set of critical values of a Ck smooth function defin...
Presenting some new arguments in the theory of critical points of distance functions, we generalize ...
The classical Morse-Sard theorem claims that for a mapping v : R-n -> Rm+1 of class C-k the measu...
We observe that a vanishing geodesic distance arising from a weakRiemannian metric in a Hilbert mani...
In this paper we prove that for every real-valued Morse function $varphi$ on a smooth closed manifol...
Abstract. The purpose of the present paper is to investigate the structure of distance spheres and c...
We prove a new Morse-Sard-type theorem for the asymptotic critical values of semi-algebraic mappings...
Abstract. Given a fixed closed manifoldM, we exhibit an explicit formula for the distance function o...
type results in sub-Riemannian geometry L. Riord, E. Trelaty Let (M; ; g) be a sub-Riemannian manifo...
Let (M, g) be a compact, connected riemannian manifold that is homogeneous, i.e. each pair of points...
We characterize arbitrary codimensional smooth manifolds M with boundary embedded in Rn using the sq...
AbstractIn this paper we study the existence of a first zero and the oscillatory behavior of solutio...
During the last century, global analysis was one of the main sources of interaction between geometry...
Morse theory is based on the idea that a smooth function on a manifold yields data about the topolog...
Let Ω be an open subset of R n . Consider a differentiable map u : Ω → R m . For many application in...
Abstract The Morse-Sard theorem states that the set of critical values of a Ck smooth function defin...
Presenting some new arguments in the theory of critical points of distance functions, we generalize ...
The classical Morse-Sard theorem claims that for a mapping v : R-n -> Rm+1 of class C-k the measu...
We observe that a vanishing geodesic distance arising from a weakRiemannian metric in a Hilbert mani...
In this paper we prove that for every real-valued Morse function $varphi$ on a smooth closed manifol...
Abstract. The purpose of the present paper is to investigate the structure of distance spheres and c...
We prove a new Morse-Sard-type theorem for the asymptotic critical values of semi-algebraic mappings...
Abstract. Given a fixed closed manifoldM, we exhibit an explicit formula for the distance function o...
type results in sub-Riemannian geometry L. Riord, E. Trelaty Let (M; ; g) be a sub-Riemannian manifo...
Let (M, g) be a compact, connected riemannian manifold that is homogeneous, i.e. each pair of points...
We characterize arbitrary codimensional smooth manifolds M with boundary embedded in Rn using the sq...
AbstractIn this paper we study the existence of a first zero and the oscillatory behavior of solutio...
During the last century, global analysis was one of the main sources of interaction between geometry...
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