The extended future tube conjecture for SO(1, ${\it {n}}$)

Heinzner, Peter; Schützdeller, Patrick

The extended future tube conjecture for SO(1,

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Heinzner, Peter ¹ ; Schützdeller, Patrick ²

¹ Fakultät und Institut für Mathematik Ruhr-Universität Bochum Gebäude NA 4/74 D-44780 Bochum, Germany
² Fakultät und Institut für Mathematik Ruhr-Universität Bochum Gebäude NA 4/69 D-44780 Bochum, Germany

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 3 (2004) no. 1, pp. 39-52.

Résumé

Let $C$ be the open upper light cone in $ℝ^{1 + n}$ with respect to the Lorentz product. The connected linear Lorentz group ${SO}_{ℝ} {(1, n)}^{0}$ acts on $C$ and therefore diagonally on the $N$ -fold product $T^{N}$ where $T = ℝ^{1 + n} + i C \subset ℂ^{1 + n} .$ We prove that the extended future tube ${SO}_{ℂ} (1, n) \cdot T^{N}$ is a domain of holomorphy.

MR Zbl

Classification : 32A07, 32D05, 32M05

Affiliations des auteurs :

Heinzner, Peter ¹ ; Schützdeller, Patrick ²

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     author = {Heinzner, Peter and Sch\"utzdeller, Patrick},
     title = {The extended future tube conjecture for {SO(1,} ${\it {n}}$)},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {39--52},
     publisher = {Scuola Normale Superiore, Pisa},
     volume = {Ser. 5, 3},
     number = {1},
     year = {2004},
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     zbl = {1170.32300},
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Heinzner, Peter; Schützdeller, Patrick. The extended future tube conjecture for SO(1, ${\it {n}}$). Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 3 (2004) no. 1, pp. 39-52. http://www.numdam.org/item/ASNSP_2004_5_3_1_39_0/

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