Leonardo Biliotti, Alessandro Ghigi (2008)
Annales de l’institut Fourier
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In this note we prove the stability of the Gieseker point of an irreducible homogeneous bundle over a rational homogeneous space. As an application we get a sharp upper estimate for the first eigenvalue of the Laplacian of an arbitrary Kähler metric on a compact Hermitian symmetric spaces of ABCD–type.
Tomáš Salač (2012)
Archivum Mathematicum
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The Penrose transform gives an isomorphism between the kernel of the -Dirac operator over an affine subset and the third sheaf cohomology group on the twistor space. In the paper we give an integral formula which realizes the isomorphism and decompose the kernel as a module of the Levi factor of the parabolic subgroup. This gives a new insight into the structure of the kernel of the operator.
Čap, Andreas, Souček, Vladimír (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Klinker, Frank (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Freddy Brackx, Hennie de Schepper, Vladimír Souček (2010)
Archivum Mathematicum
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Euclidean Clifford analysis is a higher dimensional function theory studying so–called monogenic functions, i.e. null solutions of the rotation invariant, vector valued, first order Dirac operator . In the more recent branch Hermitean Clifford analysis, this rotational invariance has been broken by introducing a complex structure on Euclidean space and a corresponding second Dirac operator , leading to the system of equations expressing so-called Hermitean monogenicity. The invariance...