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Displaying 101 – 120 of 178

On a new normalization for tractor covariant derivatives

Matthias Hammerl, Petr Somberg, Vladimír Souček, Josef Šilhan (2012)

Journal of the European Mathematical Society

A regular normal parabolic geometry of type $G / P$ on a manifold $M$ gives rise to sequences $D_{i}$ of invariant differential operators, known as the curved version of the BGG resolution. These sequences are constructed from the normal covariant derivative $\nabla^{ω}$ on the corresponding tractor bundle $V$ , where $ω$ is the normal Cartan connection. The first operator $D_{0}$ in the sequence is overdetermined and it is well known that $\nabla^{ω}$ yields the prolongation of this operator in the homogeneous case $M = G / P$ . Our first main result...

On a system of functional equations occurring in the theory of geometric objects

Z. Kareńska (1980)

Annales Polonici Mathematici

On affine geometric product objects

Józef Joachim Telega (1977)

Annales Polonici Mathematici

On differential rational invariants of finite subgroups of affine group.

Bekbaev, Ural (2005)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

On geometric objects

W. Waliszewski (1971)

Annales Polonici Mathematici

On geometry of curves of flags of constant type

Boris Doubrov, Igor Zelenko (2012)

Open Mathematics

We develop an algebraic version of Cartan’s method of equivalence or an analog of Tanaka prolongation for the (extrinsic) geometry of curves of flags of a vector space W with respect to the action of a subgroup G of GL(W). Under some natural assumptions on the subgroup G and on the flags, one can pass from the filtered objects to the corresponding graded objects and describe the construction of canonical bundles of moving frames for these curves in the language of pure linear algebra. The scope...

On natural connections on Riemannian manifolds

Jan Slovák (1989)

Commentationes Mathematicae Universitatis Carolinae

On scalar concomitants of geometric objects and their transitive domains

M. Kucharzewski, S. Węgrzynowski (1972)

Colloquium Mathematicae

On solutions of the Gołab-Schinzel equation.

Mureńko, Anna (2001)

International Journal of Mathematics and Mathematical Sciences

On the absolute differentiation of geometric object fields

Ivan Kolář (1973)

Annales Polonici Mathematici

On the existence of linear connection valued concomitants of geometric objects

Andrzej Zajtz (1985)

Colloquium Mathematicae

On the functional independence of scalar invariants of curvature for dimensions n=2,3,4

Věra Mikolášová (1982)

Mathematica Slovaca

On the infinitesimal geometric objects of submanifolds

Ivan Kolář (1973)

Archivum Mathematicum

On the jets of fibred manifold morphisms

M. Doupovec, I. Kolár (1999)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

On the natural operators transforming vector fields to the $r$ -th tensor power

Kolář, Ivan (1993)

Proceedings of the Winter School "Geometry and Topology"

On the order of natural differential operators and liftings

Andrzej Zajtz (1988)

Annales Polonici Mathematici

On the reduction theorems

G. Łubczonok (1972)

Annales Polonici Mathematici

On the special trace decomposition problem on quaternion structure.

Lakomá, Lenka, Mikes̆, Josef (1997)

General Mathematics

On the uniqueness of some differential invariants: $d$ , $[,]$ , $\nabla$

Demeter Krupka, Věra Mikolášová (1984)

Czechoslovak Mathematical Journal

Particular trace decompositions and applications of trace decomposition to almost projective invariants

Mircea Crâşmăreanu (2001)

Mathematica Bohemica

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.

Currently displaying 101 – 120 of 178

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