Príspevok k dôkazu Hartmannovej vety
Probability distribution of the multivariate nonlinear least squares estimates
Problèmes de valeurs propres et application à l'indice des surfaces de courbure moyenne constante
Projections and reflections of generic surfaces in R...
Projections of tensor spaces
Projections of transnormal twisted spheres
Projective Homogeneity.
Projective plane motions with infinitely many straight trajectories
The paper deals with one-parametric projective plane motins with the property that all points of the inflexion cubic have straight trajectories. It is shown that such motions have in the general case projective equivalent trajectories and that the inflexion cubic is in general irreducible. The cases of the above mentioned motions with reducible inflexion cubic are discussed in detail. The connection with the Darboux property is also mentioned.
Projective plane motions with straight trajectories
Projective relatedness and conformal flatness
This paper discusses the connection between projective relatedness and conformal flatness for 4-dimensional manifolds admitting a metric of signature (+,+,+,+) or (+,+,+,−). It is shown that if one of the manifolds is conformally flat and not of the most general holonomy type for that signature then, in general, the connections of the manifolds involved are the same and the second manifold is also conformally flat. Counterexamples are provided which place limitations on the potential strengthening...
Projective spaces of second order.
Grassmannians of higher order appeared for the first time in a paper of A. Szybiak in the context of the Cartan method of moving frame. In the present paper we consider a special case of higher order Grassmannian, the projective space of second order. We introduce the projective group of second order acting on this space, derive its Maurer-Cartan equations and show that our generalized projective space is a homogeneous space of this group.
Projective-type differential invariants and geometric curve evolutions of KdV-type in flat homogeneous manifolds
In this paper we describe moving frames and differential invariants for curves in two different -graded parabolic manifolds , and , and we define differential invariants of projective-type. We then show that, in the first case, there are geometric flows in inducing equations of KdV-type in the projective-type differential invariants when proper initial conditions are chosen. We also show that geometric Poisson brackets in the space of differential invariants of curves in can be reduced...
Projektive Deformation der Segreschen -Kongruenzen
Projektivní deformace přímkových kongruencí vnořených do šestirozměrných projektivních prostorů
Projektivní diferenciální geometrie [Book]
Proof of the double bubble conjecture.
Properties of Conflict Sets in the Plane
This paper studies the smoothness and the curvature of conflict sets of the distance function in the plane. Conflict sets are also well known as 'bisectors'. We prove smoothness in the case of two convex sets and give a formula for the curvature. We generalize moreover to weighted distance functions, the so-called Johnson-Mehl model.
Properties of space motions with two straight trajectories
The paper is devoted to Euclidean space motions with two straight trajectories on two given skew straight lines. It describes all motions from this class which have one more planar trajectory in a plane not parallel to the given lines. In the conclusion it given conditions under which such motions have further planar trajectories in planes not parallel to the given skew straight lines.
Propriété caractéristique de la droite rectifiante
Propriétés projectives du contact. III