Add to ORKG<正> The calculation on the tube hypersurfaces is very interesting and important,especially H.Weyl gave a formula of the volume of tubes which contains a seriesof curvature invariants of submanifolds. Let N be an oriented compact n-dimensional submanifold in the m-dimensional04435-43
The Casorati curvature of a submanifold Mn of a Riemannian manifold Mn+m is known to be the normaliz...
AbstractSharp estimates for the mean curvatures of hypersurfaces in Riemannian manifolds are known f...
By using the operator , we define the notions of rth order and rth type of a Euclidean hypersurface....
Let M̃ (dim(M̃ ) = m + n) be an oriented Riemannian manifold and M a compact oriented submanifold of...
The author defines a tube to be an immersed submanifold u:Mp→Rn+1 and the interval of existence τ(Mp...
In this article we generalize some classical formulas for curvatures of hypersurfaces in the n-dimen...
Given a closed in-dimensional manifold W immersed in R-n, we estimate its diameter d in terms of its...
International audienceGeometric inference deals with the problem of recovering the geometry and topo...
Nesta tese conseguimos obter uma extensão para a fórmula do volume de tubos de H. Weyl para o caso h...
ABSTRACT. The object of the paper is to study some compact submaniforlds in the Euclidean space Rn w...
Abstract. In this note we characterize compact hypersurfaces of dimension n ≥ 2 with constant mean c...
We divide this exposition into two parts. The first part refers to the mean value of the Euler-Poinc...
For n ≥ 1, letMn be a n-dimensional compact manifold without boundary and F0: Mn → Rn+1 be a smooth ...
Let Q be a closed convex hypersurface of class C3 of the n-dimensional space of constant curvature K...
The authors develop a degree theory for compact immersed hypersurfaces of prescribed K-curvature imm...
The Casorati curvature of a submanifold Mn of a Riemannian manifold Mn+m is known to be the normaliz...
AbstractSharp estimates for the mean curvatures of hypersurfaces in Riemannian manifolds are known f...
By using the operator , we define the notions of rth order and rth type of a Euclidean hypersurface....
Let M̃ (dim(M̃ ) = m + n) be an oriented Riemannian manifold and M a compact oriented submanifold of...
The author defines a tube to be an immersed submanifold u:Mp→Rn+1 and the interval of existence τ(Mp...
In this article we generalize some classical formulas for curvatures of hypersurfaces in the n-dimen...
Given a closed in-dimensional manifold W immersed in R-n, we estimate its diameter d in terms of its...
International audienceGeometric inference deals with the problem of recovering the geometry and topo...
Nesta tese conseguimos obter uma extensão para a fórmula do volume de tubos de H. Weyl para o caso h...
ABSTRACT. The object of the paper is to study some compact submaniforlds in the Euclidean space Rn w...
Abstract. In this note we characterize compact hypersurfaces of dimension n ≥ 2 with constant mean c...
We divide this exposition into two parts. The first part refers to the mean value of the Euler-Poinc...
For n ≥ 1, letMn be a n-dimensional compact manifold without boundary and F0: Mn → Rn+1 be a smooth ...
Let Q be a closed convex hypersurface of class C3 of the n-dimensional space of constant curvature K...
The authors develop a degree theory for compact immersed hypersurfaces of prescribed K-curvature imm...
The Casorati curvature of a submanifold Mn of a Riemannian manifold Mn+m is known to be the normaliz...
AbstractSharp estimates for the mean curvatures of hypersurfaces in Riemannian manifolds are known f...
By using the operator , we define the notions of rth order and rth type of a Euclidean hypersurface....