3rd order differential invariants of coframes
A contribution to the Cartan's method of specialization of frames
A generalization of a theorem of S. Gołąb and M. Kucharzewski
A generalization of the Schwarzian via Clifford numbers.
A Note on Curvature-like Invariants of Some Connections on Locally Decomposable Spaces
Affine classification of -curves.
Affine differential geometry of surfaces
Affine differential invariants for planar curves.
Alcuni invarianti di contatto di due varietà in uno spazio proiettivo
All linear and bilinear natural concomitants of vector valued differential forms
Anti-holonomic jets and the Lie bracket
Second order anti-holonomic jets as anti-symmetric parts of second order semi-holonomic jets are introduced. The anti-holonomic nature of the Lie bracket is shown. A general result on universality of the Lie bracket is proved.
Bestimmung aller algebraischen Komitanten des symmetrischen Übertragungsparameters
Canonical form on a groupoid related to regular prolongations of Lie groups
Classical differential geometry with Christoffel symbols of Ehresmann -connections
We give a method based on an idea of O. Veblen which gives explicit formulas for the covariant derivatives of natural objects in terms of the Christoffel symbols of a symmetric Ehresmann -connection.
Classification des densités vectorielles factorisées
Classification of Monge-Ampère equations with two variables
This paper deals with the classification of hyperbolic Monge-Ampère equations on a two-dimensional manifold. We solve the local equivalence problem with respect to the contact transformation group assuming that the equation is of general position nondegenerate type. As an application we formulate a new method of finding symmetries. This together with previous author's results allows to state the solution of the classical S. Lie equivalence problem for the Monge-Ampère equations.
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.
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...
Completeness of the polynomial invariants of compact groups
Concomitanza, conseguenti identità di struttura e leggi di conservazione