Hyperkähler metrics of cohomogeneity one

✍ Scribed by Andrew Dancer; Andrew Swann

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 596 KB
• Volume: 21
• Category: Article
• ISSN: 0393-0440
• DOI: 10.1016/s0393-0440(96)00017-4

✦ Synopsis

Irreducible hyperk~ihler manifolds of dimension greater than four admitting a cohomogeneityone action of a compact simple Lie group are classified via coadjoint orbits. It is shown that the only complete example is the Calabi metric on T*CP(n).