Non-immersion theorem for a class of hyperbolic manifolds

✍ Scribed by Yury A. Nikolayevsky

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 301 KB
• Volume: 9
• Category: Article
• ISSN: 0926-2245
• DOI: 10.1016/s0926-2245(97)00017-x

✦ Synopsis

It is proved that a non-simply-connected complete hyperbolic manifold cannot be isometrically immersed in a Euclidean space with a flat normal connection. In particular, the complete hyperbolic manifold M" with ~1 (M) # 0 cannot be isometrically immersed in IW2n-'.