Some Comments on Projective Quadrics Subordinate to Pseudo-Hermitian Spaces
Identifieur interne : 000256 ( Main/Exploration ); précédent : 000255; suivant : 000257Some Comments on Projective Quadrics Subordinate to Pseudo-Hermitian Spaces
Auteurs : Arkadiusz Jadczyk [France]Source :
- Advances in Applied Clifford Algebras [ 0188-7009 ] ; 2012-03-01.
English descriptors
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Abstract
Abstract: We study in some detail the structure of the projective quadric Q′ obtained by taking the quotient of the isotropic cone in a standard pseudo-hermitian space H p,q with respect to the positive real numbers $${\mathbb R^{+}}$$ and, further, by taking the quotient $${\tilde Q = Q^\prime /U(1)}$$ . The case of signature (1, 1) serves as an illustration. Q̃ is studied as a compactification of $${\mathbb R \times H_{p-1,q-1}}$$
Url:
DOI: 10.1007/s00006-011-0289-1
Affiliations:
- France
- Midi-Pyrénées, Occitanie (région administrative)
- Toulouse
- Université Toulouse III - Paul Sabatier
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