Add to ORKG36 pages, 4 figuresThe paper investigates higher dimensional analogues of Burago's inequality bounding the area of a closed surface by its total curvature. We obtain sufficient conditions for hypersurfaces in 4-space that involve the Ricci curvature. We get semi-local variants of the inequality holding in any dimension that involve domains with non-vanishing Gauss-Kronecker curvature. The paper also contains inequalities of isoperimetric type involving the total curvature, as well as a "reverse" isoperimetric inequality for spaces with constant curvature
For metric measure spaces satisfying the reduced curvature-dimension condition CD*(K,N) we prove a s...
In this thesis, we give a lower bound on the areas of small geodesic balls in an immersed hypersurfa...
We prove that if (Formula presented.) is a metric measure space with (Formula presented.) having (in...
36 pages, 4 figuresThe paper investigates higher dimensional analogues of Burago's inequality boundi...
36 pages, 4 figuresThe paper investigates higher dimensional analogues of Burago's inequality boundi...
In this thesis, we will show three results which partially answer several questions in the field of ...
In this thesis we studied width-volume inequalities, bisecting surfaces in three spheres, and the pl...
We discover following analytic / geometric properties on Riemannian foliations with bundle-like metr...
For metric measure spaces satisfying the reduced curvature-dimension condition CD*(K, N) we prove a ...
In this work, we study interactions between the curvature of a Riemannian manifold and the geometry ...
Abstract. We prove that the area of a hypersurface Σ which traps a given volume outside a convex dom...
In this work, we study interactions between the curvature of a Riemannian manifold and the geometry ...
In this thesis we studied width-volume inequalities, bisecting surfaces in three spheres, and the pl...
In this thesis, we give a lower bound on the areas of small geodesic balls in an immersed hypersurfa...
For metric measure spaces satisfying the reduced curvature-dimension condition CD*(K, N) we prove a ...
For metric measure spaces satisfying the reduced curvature-dimension condition CD*(K,N) we prove a s...
In this thesis, we give a lower bound on the areas of small geodesic balls in an immersed hypersurfa...
We prove that if (Formula presented.) is a metric measure space with (Formula presented.) having (in...
36 pages, 4 figuresThe paper investigates higher dimensional analogues of Burago's inequality boundi...
36 pages, 4 figuresThe paper investigates higher dimensional analogues of Burago's inequality boundi...
In this thesis, we will show three results which partially answer several questions in the field of ...
In this thesis we studied width-volume inequalities, bisecting surfaces in three spheres, and the pl...
We discover following analytic / geometric properties on Riemannian foliations with bundle-like metr...
For metric measure spaces satisfying the reduced curvature-dimension condition CD*(K, N) we prove a ...
In this work, we study interactions between the curvature of a Riemannian manifold and the geometry ...
Abstract. We prove that the area of a hypersurface Σ which traps a given volume outside a convex dom...
In this work, we study interactions between the curvature of a Riemannian manifold and the geometry ...
In this thesis we studied width-volume inequalities, bisecting surfaces in three spheres, and the pl...
In this thesis, we give a lower bound on the areas of small geodesic balls in an immersed hypersurfa...
For metric measure spaces satisfying the reduced curvature-dimension condition CD*(K, N) we prove a ...
For metric measure spaces satisfying the reduced curvature-dimension condition CD*(K,N) we prove a s...
In this thesis, we give a lower bound on the areas of small geodesic balls in an immersed hypersurfa...
We prove that if (Formula presented.) is a metric measure space with (Formula presented.) having (in...