Geodesic
The extended future tube conjecture for SO(1, 𝑛)
Heinzner, Peter1  ; Schützdeller, Patrick2
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

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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 +iC⊂ℂ 1+n . We prove that the extended future tube SO ℂ (1,n)·T N is a domain of holomorphy.

Classification : 32A07, 32D05, 32M05

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 
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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},
     mrnumber = {2064966},
     zbl = {1170.32300},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ASNSP_2004_5_3_1_39_0/}
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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://geodesic.mathdoc.fr/item/ASNSP_2004_5_3_1_39_0/