Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10773/24143
Título: | From hermitean clifford analysis to subelliptic dirac operators on odd dimensional spheres and other CR manifolds |
Autor: | Cerejeiras, P. Kahler, U. Ryan, J. |
Palavras-chave: | Kohn Laplacian Kohn Dirac operator CR manifolds |
Data: | Out-2018 |
Editora: | Springer International Publishing |
Resumo: | We show that the two Dirac operators arising in Hermitian Clifford analysis are identical to standard differential operators arising in several complex variables. We also show that the maximal subgroup that preserves these operators are generated by translations, dilations and actions of the unitary n-group. So the operators are not invariant under Kelvin inversion. We also show that the Dirac operators constructed via two by two matrices in Hermitian Clifford analysis correspond to standard Dirac operators in euclidean space. In order to develop Hermitian Clifford analysis in a different direction we introduce a sub elliptic Dirac operator acting on sections of a bundle over odd dimensional spheres. The particular case of the three sphere is examined in detail. We conclude by indicating how this construction could extend to other CR manifolds. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/24143 |
DOI: | 10.1007/978-3-030-00049-3_3 |
ISBN: | 978-3-030-00047-9 |
Versão do Editor: | https://www.springer.com/us/book/9783030000479 |
Aparece nas coleções: | CIDMA - Capítulo de livro CHAG - Capítulo de livro |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
---|---|---|---|---|
Ryan_May2016_v4.pdf | 287.11 kB | Adobe PDF | Ver/Abrir |
Todos os registos no repositório estão protegidos por leis de copyright, com todos os direitos reservados.