Non-Hermitian Yang-Mills connections
✍ Scribed by D. Kaledin; M. Verbitsky
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 1998
- Tongue
- English
- Weight
- 565 KB
- Volume
- 4
- Category
- Article
- ISSN
- 1022-1824
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In this paper, we study a new functional, i.e., the exponential Yang-Mills functional ~'~t" e on the space of all smooth connections Vof a vector bundle E over a compact Riemannian manifold (M, g) which is defined by where II R v 11 is the curvature tensor of a connection V. A critical point of Y/e
We develop a new Yang-Mills theory for connections D in a vector bundle E with bundle metric h, over a Riemannian manifold by dropping the customary assumption Dh = 0. We apply this theory to Einstein-Weyl geometry (cf. M.F. Atiyah, et al., Self-duality in four-dimensional Riemannian geometry, Proc.