Abstract
We prove that a Kähler supermetric on a supermanifold with one complex fermionic dimension admits a superRicci-flat supermetric, if and only if the bosonic metric has vanishing scalar curvature. As a corollary, it follows that Yau's theorem does not hold for supermanifolds.
| Original language | English |
|---|---|
| Pages (from-to) | 315-320 |
| Number of pages | 6 |
| Journal | Advances in Theoretical and Mathematical Physics |
| Volume | 9 |
| Issue number | 2 |
| DOIs | |
| State | Published - Apr 2005 |
Fingerprint
Dive into the research topics of 'On Calabi-Yau supermanifolds'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver