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- Title
Local Riemann-Roch theorem for almost Hermitian manifolds.
- Authors
Wang, Hongyu; Zhu, Peng
- Abstract
In this paper, we give a local Riemann-Roch theorem for certain almost Hermitian manifolds by a canonical connection and the theory of almost Hermitian structure of null eccentricity. In particular, we obtain a local Riemann-Roch theorem for all closed almost complex manifolds of dimension 4. Also, by using the heat equation method, we give an analytic approach to a local index theorem for generalized Dirac operators.
- Subjects
RIEMANN-Roch theorems; ALGEBRAIC geometry; ALGEBRAIC functions; DIFFERENTIAL geometry; DIRAC equation; HERMITIAN structures; INDEX theory (Mathematics)
- Publication
Bulletin of the Brazilian Mathematical Society, 2010, Vol 41, Issue 4, p583
- ISSN
1678-7544
- Publication type
Article
- DOI
10.1007/s00574-010-0027-7