Given a closed in-dimensional manifold W immersed in R-n, we estimate its diameter d in terms of its mean curvature H by d <= C(m)integral(M)vertical bar H vertical bar(m-1)(d mu)
The only ovaloids with constant mean curvature $H $ in an Euclidean space $E^{3} $ are the spheres. ...
We give sufficient and necessary geometric conditions, guaranteeing that an immersed com-pact closed...
Let Q be a closed convex hypersurface of class C3 of the n-dimensional space of constant curvature K...
summary:For closed immersed submanifolds of Euclidean spaces, we prove that $\int |\mu |^2\, dV\geq ...
<正> The calculation on the tube hypersurfaces is very interesting and important,especially H.W...
By using the operator , we define the notions of rth order and rth type of a Euclidean hypersurface....
We prove mean and sectional curvature estimates for submanifolds confined into either a horocylinder...
International audienceGeometric inference deals with the problem of recovering the geometry and topo...
Este trabalho à baseado no artigo The Mean Curvature Cylindrically Bounded Submanifolds, nele aborda...
In a recent paper [3], Brendle proved that the inscribed radius of closed embedded mean convex hyper...
We consider compact submanifolds of dimension n ≥ 2 in ℝn+k, with nonzero mean curvature vector ever...
We divide this exposition into two parts. The first part refers to the mean value of the Euler-Poinc...
Abstract. Integral formulas obtained from the measure of totally geodesic submanifolds (’affine spac...
For functions on generalised connected surfaces (of any dimensions) with boundary and mean curvature...
We derive interior curvature bounds for strictly spacelike hypersurfaces of prescribed k-th mean cur...
The only ovaloids with constant mean curvature $H $ in an Euclidean space $E^{3} $ are the spheres. ...
We give sufficient and necessary geometric conditions, guaranteeing that an immersed com-pact closed...
Let Q be a closed convex hypersurface of class C3 of the n-dimensional space of constant curvature K...
summary:For closed immersed submanifolds of Euclidean spaces, we prove that $\int |\mu |^2\, dV\geq ...
<正> The calculation on the tube hypersurfaces is very interesting and important,especially H.W...
By using the operator , we define the notions of rth order and rth type of a Euclidean hypersurface....
We prove mean and sectional curvature estimates for submanifolds confined into either a horocylinder...
International audienceGeometric inference deals with the problem of recovering the geometry and topo...
Este trabalho à baseado no artigo The Mean Curvature Cylindrically Bounded Submanifolds, nele aborda...
In a recent paper [3], Brendle proved that the inscribed radius of closed embedded mean convex hyper...
We consider compact submanifolds of dimension n ≥ 2 in ℝn+k, with nonzero mean curvature vector ever...
We divide this exposition into two parts. The first part refers to the mean value of the Euler-Poinc...
Abstract. Integral formulas obtained from the measure of totally geodesic submanifolds (’affine spac...
For functions on generalised connected surfaces (of any dimensions) with boundary and mean curvature...
We derive interior curvature bounds for strictly spacelike hypersurfaces of prescribed k-th mean cur...
The only ovaloids with constant mean curvature $H $ in an Euclidean space $E^{3} $ are the spheres. ...
We give sufficient and necessary geometric conditions, guaranteeing that an immersed com-pact closed...
Let Q be a closed convex hypersurface of class C3 of the n-dimensional space of constant curvature K...
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