A geometric theory of harmonic and semi-conformal maps

✍ Scribed by Anders Kock

• Book ID: 111487683
• Publisher: SP Versita
• Year: 2004
• Tongue: English
• Weight: 283 KB
• Volume: 2
• Category: Article
• ISSN: 1895-1074
• DOI: 10.2478/bf02475972

✦ Synopsis

We describe for any Riemannian manifold M a certain scheme M L , lying in between the first and second neighbourhood of the diagonal of M . Semi-conformal maps between Riemannian manifolds are then analyzed as those maps that preserve M L ; harmonic maps are analyzed as those that preserve the (Levi-Civita-) mirror image formation inside M L .