Parabeln mit gemeinsamen isotropem Krümmungskreis.
Parallel and nonparallel -structures on Euclidean spaces
Parallel hypersurfaces
We investigate parallel hypersurfaces in the context of relative hypersurface geometry, in particular including the cases of Euclidean and Blaschke hypersurfaces. We describe the geometric relations between parallel hypersurfaces in terms of deformation operators, and we apply the results to the parallel deformation of special classes of hypersurfaces, e.g. quadrics and Weingarten hypersurfaces.
Parallel immersions into spaces of constant curvature and conformal transformations.
Parallelisability conditions for differentiable three-webs.
Parallelisability conditions for differentiable three-webs
Our aim is to find conditions under which a 3-web on a smooth -dimensional manifold is locally equivalent with a web formed by three systems of parallel -planes in . We will present here a new approach to this “classical” problem using projectors onto the distributions of tangent subspaces to the leaves of foliations forming the web.
Parallelograms inscribed in a curve having a circle as π/2-isoptic
Jean-Marc Richard observed in [7] that maximal perimeter of a parallelogram inscribed in a given ellipse can be realized by a parallelogram with one vertex at any prescribed point of ellipse. Alain Connes and Don Zagier gave in [4] probably the most elementary proof of this property of ellipse. Another proof can be found in [1]. In this note we prove that closed, convex curves having circles as π/2-isoptics have the similar property.
Parallel-P-Äquidistante Regelflächen.
Parameters of distribution of -dimensional monosystems in the Euclidean space
Parametric mean curvature evolution with a Dirichlet boundary condition.
Parametrization of a family of minimal surfaces bounded by the broken lines in .
Partial regularity of functions of least gradient in
Particular trace decompositions and applications of trace decomposition to almost projective invariants
First, by using the formulae of Krupka, the trace decomposition for some particular classes of tensors of types (1, 2) and (1, 3) is obtained. Second, it is proved that the traceless part of a tensor is an almost projective invariant of weight 1. We apply this result to Weyl curvature tensors.
Pedals, Autoroulettes and Steiner's Theorem
Pedals, autoroulettes and Steiner's theorem.
Perspective of Interfaces from Stand Point of Continuum Physics
Perturbing away singularity from area-minimizing hypercones.
Peterson's deformations of higher dimensional quadrics.
Phenomena of compensation and estimates for partial differential equations.
Physique quantique et formules de localisation