Some Comments on Projective Quadrics Subordinate to Pseudo-Hermitian Spaces

@article{Jadczyk2010SomeCO,
  title={Some Comments on Projective Quadrics Subordinate to Pseudo-Hermitian Spaces},
  author={A. Jadczyk},
  journal={Advances in Applied Clifford Algebras},
  year={2010},
  volume={22},
  pages={79-85}
}
  • A. Jadczyk
  • Published 2010
  • Mathematics, Physics
  • Advances in Applied Clifford Algebras
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 Hp,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 $${\mathbb R \times H_{p-1,q-1}}$$ 

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