9 citations · 38 across the 10 of their papers we have counts for
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Monogenic hull for the n-Cauchy-Fueter operator and twistor theory
Tomas Salac
This is the first part in a series of three articles in which are studied the domains of monogenicity for the -Cauchy-Fueter operator. Using the twistor theory, we will in this…
Resolution of the -Dirac operator
Tomas Salac
This is the second part in a series of two papers. The -Dirac complex is a complex of differential operators which are natural to a particular -graded parabolic geometry. I…
Elliptic complex on the Grassmannian of oriented 2-planes
Tomas Salac
The Grassmannian of oriented 2-planes in where carries a homogeneous parabolic contact structure of Grassmannian type. The main re…
Parabolic conformally symplectic structures III; Invariant differential operators and complexes
Andreas Cap, Tomas Salac
This is the last part of a series of articles on a family of geometric structures (PACS-structures) which all have an underlying almost conformally symplectic structure. While the…
Parabolic conformally symplectic structures II; parabolic contactification
Andreas Cap, Tomas Salac
Parabolic almost conformally symplectic structures were introduced in the first part of this series of articles as a class of geometric structures which have an underlying almost c…
Parabolic conformally symplectic structures I; definition and distinguished connections
Andreas Cap, Tomas Salac
We introduce a class of first order G-structures, each of which has an underlying almost conformally symplectic structure. There is one such structure for each real simple Lie alge…