A Laplace operator on complex Finsler manifolds
- Author(s)
- Hongjun Li, Chunhui Qiu, Weixia Zhu
- Abstract
In this paper, we give the Laplace operator by defining a global inner product of (p,q) differential forms on strongly pseudoconvex compact complex Finsler manifolds, which can be regarded as an extension of that on Hermitian manifolds. Moreover, we derive the local coordinate expression of the Laplace operator. Finally, we prove that the Laplace operator is an elliptic self-adjoint operator and Hodge decomposition theorem holds.
- Organisation(s)
- External organisation(s)
- Xiamen University
- Journal
- Differential Geometry and Its Applications
- Volume
- 54
- Pages
- 437-447
- No. of pages
- 11
- ISSN
- 0926-2245
- DOI
- https://doi.org/10.1016/j.difgeo.2017.07.007
- Publication date
- 10-2017
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 101009 Geometry
- Keywords
- ASJC Scopus subject areas
- Analysis, Geometry and Topology, Computational Theory and Mathematics
- Portal url
- https://ucris.univie.ac.at/portal/en/publications/a-laplace-operator-on-complex-finsler-manifolds(612c0351-f3aa-4a94-84ad-7401dbff693f).html