Le groupe de Heisenberg et les variétés de contact riemanniennes

✍ Scribed by Claude Albert

• Publisher: Elsevier Science
• Year: 2002
• Tongue: French
• Weight: 152 KB
• Volume: 126
• Category: Article
• ISSN: 0007-4497
• DOI: 10.1016/s0007-4497(01)01086-7

✦ Synopsis

We regard the Riemannian contact manifolds as h n -flat manifolds endowed with a natural metric (h n is the Heisenberg Lie algebra). This approach points out a special connection on such a manifold. We briefly study this connection, showing the thorough similarity of Sasakian and Kaehlerian conditions. We give a classification of complete Sasakian manifolds with constant holomorphic sectional curvature.