Si studia la geometria Riemanniana invariante dei coni-luce di $\mathbf{R}^{n}$. Si determinano tutte le isometrie di un tale cono e si discute la loro estendibilità olomorfa al dominio tubolare associato al cono.
Referenze Bibliografiche
[1]
W.M. Boothby (
1975) -
An introduction to differentiable manifolds and Riemannian geometry, New York, San Francisco, London,
Academic Press. |
Zbl 0333.53001[2]
L.P. Eisenhart (
1949) -
Riemannian geometry,
Princeton University Press, 2nd edition. |
Zbl 0041.29403[3] S. Helgason (1962) - Differential geometry and symmetric spaces, New York, London, Academic Press.
[4]
C. Hertneck (
1962) -
Positivitätsbereiche und Jordan-strukturen,
«Math. Annalen», Bd.
146, 433-455. |
fulltext EuDML[5]
W. Kaup,
Y. Matsushima and
T. Ochiai (
1970) -
On automorphisms and equivalences of generalized Siegel domains,
«Am. J. Math.»,
XCII, 475. |
Zbl 0198.42501[6] M. Koecher (1958) - Analysis in reellen Jordan-Algebren, «Nachr. Akad. der Wissenschaften Göttingen» Nr. 4, 67-74.
[7] M. Koecher (1957) - Positivitätsbereiche im $\mathbf{R}^{n}$, «Am. J. Math.», 79, 575-596.
[8]
S. Murakami (
1972) -
On automorphisms of Siegel domains,
«Lecture Notes in Mathematics»,
286,
Springer-Verlag. |
Zbl 0245.32001[9]
O.S. Rothaus (
1960) -
Domains of positivity,
«Ab. Mat. Sem.», 189-225. |
Zbl 0096.27903[10] E.B. Vinberg (1963) - Theory of convex homogeneous cones, «Trans. Moscow Math. Soc.», 12, 340.
Con il contributo del Ministero per i Beni e le Attività Culturali