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Mabuchi and Aubin–Yau functionals over complex surfaces.
- Source :
-
Journal of Mathematical Analysis & Applications . Aug2014, Vol. 416 Issue 1, p81-98. 18p. - Publication Year :
- 2014
-
Abstract
- Abstract: In this note we construct Mabuchi functional and Aubin–Yau functionals on any compact complex surfaces, and establish a number of properties. Our construction coincides with the original one in the Kähler case. This method has been generalized to construct Mabuchi and Aubin–Yau functional over complex manifolds with complex dimension larger than two, see [5,6]. We will consider in [7] their applications to geometry. [Copyright &y& Elsevier]
- Subjects :
- *FUNCTIONALS
*KAHLERIAN manifolds
*GEOMETRY
*COMPLEX manifolds
*NUMBER theory
Subjects
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 416
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 95316732
- Full Text :
- https://doi.org/10.1016/j.jmaa.2014.02.039