Coincidence set of minimal surfaces for the thin obstacle.
Combinatorial differential geometry and ideal Bianchi–Ricci identities II – the torsion case
This paper is a continuation of [2], dealing with a general, not-necessarily torsion-free, connection. It characterizes all possible systems of generators for vector-field valued operators that depend naturally on a set of vector fields and a linear connection, describes the size of the space of such operators and proves the existence of an ‘ideal’ basis consisting of operators with given leading terms which satisfy the (generalized) Bianchi–Ricci identities without corrections.
Commensurability classes and volumes of hyperbolic 3-manifolds
Comment on curves in 2- and 3-dimensional Monkowski space.
Commutation formulas for -differentiation in a generalized Finsler space
Commuting linear operators and algebraic decompositions
For commuting linear operators we describe a range of conditions which are weaker than invertibility. When any of these conditions hold we may study the composition in terms of the component operators or combinations thereof. In particular the general inhomogeneous problem reduces to a system of simpler problems. These problems capture the structure of the solution and range spaces and, if the operators involved are differential, then this gives an effective way of lowering the differential...
Compact Conformally Symmetric Riemannan Spaces.
Compact constant mean curvature surfaces with low genus.
Compact Hypersurfaces with a Constant Higher Mean Curvature Function.
Compact hypersurfaces with constant higher order mean curvatures.
A fundamental question about hypersurfaces in the Euclidean space is to decide if the sphere is the only compact hypersurface (embedded or immersed) with constant higher order mean curvature Hr, for some r = 1, ..., n.
Comparison principles and Liouville theorems for prescribed mean curvature equations in unbounded domains
Comparison principles for hypersurfaces of prescribed mean curvature.
Compatible flat metrics.
Complete classification of surfaces with a canonical principal direction in the Euclidean space 3
In the present paper we classify all surfaces in 3 with a canonical principal direction. Examples of this type of surfaces are constructed. We prove that the only minimal surface with a canonical principal direction in the Euclidean space 3 is the catenoid.
Complete hypersurfaces with constant scalar curvature in a hyperbolic space.
Complete hypersurfaces with constant scalar curvature in a sphere
In this paper, by using Cheng-Yau’s self-adjoint operator , we study the complete hypersurfaces in a sphere with constant scalar curvature.
Complete minimal hypersurfaces in hyperbolic n-manifolds.
Complete minimal surfaces in with type Enneper end
We show that there exists a complete minimal surface immersed into which is conformally equivalent to a compact hyperelliptic Riemann surface of genus three minus one point. The end of the surface is of Enneper type and its total curvature is .
Complete minimal surfaces in R3.
In this paper we review some topics on the theory of complete minimal surfaces in three dimensional Euclidean space.
Complete minimal surfaces of arbitrary genus in a slab of
In this paper we construct complete minimal surfaces of arbitrary genus in with one, two, three and four ends respectively. Furthermore the surfaces lie between two parallel planes of .