O šestnáctém Hilbertově problému
Deformation and equivalence -structures. Part I. -structures
Some remarks on surfaces in the 4-dimensional Euclidean space
Differential operators and -structures of higher order
Special invariant operators I
The aim of the first part of a series of papers is to give a description of invariant differential operators on manifolds with an almost Hermitian symmetric structure of the type which are defined on bundles associated to the reducible but undecomposable representation of the parabolic subgroup of the Lie group . One example of an operator of this type is the Penrose’s local twistor transport. In this part general theory is presented, and conformally invariant operators are studied in more...
Dirac operators on hypersurfaces
In this paper some relation among the Dirac operator on a Riemannian spin-manifold , its projection on some embedded hypersurface and the Dirac operator on with respect to the induced (called standard) spin structure are given.
Remark on local existence of -structure with prescribed structural functions on a manifold of dimension two
Free constructions of 2-structures
Translation structures and group partitions
Simultaneous integrability of an almost complex and an almost tangent structure
A Nijenhuis-type tensor on the quotient of a distribution
Some conditions for a surface in to be a part of the sphere
In this paper some properties of an immersion of two-dimensional surface with boundary into are studied. The main tool is the maximal principle property of a solution of the elliptic system of partial differential equations. Some conditions for a surface to be a part of a 2-dimensional spheren in are presented.
One generalization of quasifield
Integral transforms for divisors in and solutions of systems of PDE’s
Foreword
Harmonic spinors on Riemann surfaces
Multisymplectic structures of degrese three of product type on 6-dimensional manifolds
Some integral formulas in complex Clifford analysis
On generalized Cauchy-Riemann equations on manifolds
Multisymplectic forms of degree three in dimension seven
A multisymplectic 3-structure on an -dimensional manifold is given by a closed smooth 3-form of maximal rank on which is of the same algebraic type at each point of , i.e. they belong to the same orbit under the action of the group . This means that for each point the form is isomorphic to a chosen canonical 3-form on . [Linear Multilinear Algebra 10, 183–204 (1981; Zbl 0464.15001)] and [Linear Multilinear Algebra 13, 3–39 (1983; Zbl 0515.15011)] obtained the classification of 3-forms...
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