Quaternion Kähler flat manifolds

✍ Scribed by Isabel G. Dotti; Roberto J. Miatello

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 155 KB
• Volume: 15
• Category: Article
• ISSN: 0926-2245
• DOI: 10.1016/s0926-2245(01)00043-2

✦ Synopsis

We give a general method to construct hyperkähler and quaternion Kähler flat manifolds with holonomy Z k 2 . We give many families of quaternion Kähler flat manifolds of dimension 8 which admit no Kähler structures.