Tangential Symmetries of Planar Curves and Space Curves
Tautness and Lie Sphere Geometry.
Tensor approach to multidimensional webs
An anholonomic -web of dimension is considered as an -tuple of -dimensional distributions in general position. We investigate a family of -tensor fields (projectors and nilpotents associated with a web in a natural way) which will be used for characterization of all linear connections on a manifold preserving the given web.
Tensor fields of type (0,2) on linear frame bundles and cotangent bundles
Tensor product surfaces in and Lie groups.
Tensor product surfaces of a Euclidean space curve and a Euclidean plane curve.
Tensor valued Colombeau functions on manifolds
Extending the construction of the algebra of scalar valued Colombeau functions on a smooth manifold M (cf. [4]), we present a suitable basic space for eventually obtaining tensor valued generalized functions on M, via the usual quotient construction. This basic space canonically contains the tensor valued distributions and permits a natural extension of the classical Lie derivative. Its members are smooth functions depending-via a third slot-on so-called transport operators, in addition to slots...
Tensorielle Produkte regulärer Linearformenmoduln.
Tensor-invariants of submanifolds
Thaw: a tool for approximating cut loci on a triangulation of a surface.
The action of conformal transformations on a Riemannian manifold.
The almost Einstein operator for distributions
For the geometry of oriented distributions , which correspond to regular, normal parabolic geometries of type for a particular parabolic subgroup , we develop the corresponding tractor calculus and use it to analyze the first BGG operator associated to the -dimensional irreducible representation of . We give an explicit formula for the normal connection on the corresponding tractor bundle and use it to derive explicit expressions for this operator. We also show that solutions of this operator...
The analytic Carathéodory conjecture.
The angle criterion.
The Area of the Generalized Gaussian Image and the Stability of Minimal Surfaces in Sn and IRn.
The asymptotic behaviour of surfaces with prescribed mean curvature near meeting points of fixed and free boundaries
We study the shape of stationary surfaces with prescribed mean curvature in the Euclidean 3-space near boundary points where Plateau boundaries meet free boundaries. In deriving asymptotic expansions at such points, we generalize known results about minimal surfaces due to G. Dziuk. The main difficulties arise from the fact that, contrary to minimal surfaces, surfaces with prescribed mean curvature do not meet the support manifold perpendicularly along their free boundary, in general.
The Bend of Bernstein Polynomials.
The boundary value Minkowski problem. The parametric case
The catenary (almost) everywhere.
The centre symmetry set
A centrally symmetric plane curve has a point called it’s centre of symmetry. We define (following Janeczko) a set which measures the central symmetry of an arbitrary strictly convex plane curve, or surface in . We investigate some of it’s properties, and begin the study of non-convex cases.