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Hermitian Calabi functional in complexified orbits.
- Source :
-
International Journal of Mathematics . Jul2023, Vol. 34 Issue 8, p1-44. 44p. - Publication Year :
- 2023
-
Abstract
- Let (M , ω) be a compact symplectic manifold. We denote by ω the space of all almost complex structure compatible with ω. ω has a natural foliation structure with the complexified orbit as leaf. We obtain an explicit formula of the Hessian of Hermitian Calabi functional at an extremal almost Kähler metric in ω . We prove that the Hessian of Hermitian Calabi functional is semi-positive definite at critical point when restricted to a complexified orbit, as corollaries we obtain some results analogy to Kähler case. We also show weak parabolicity of the Hermitian Calabi flow. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ORBITS (Astronomy)
*SYMPLECTIC manifolds
*FOLIATIONS (Mathematics)
Subjects
Details
- Language :
- English
- ISSN :
- 0129167X
- Volume :
- 34
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- International Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 166743703
- Full Text :
- https://doi.org/10.1142/S0129167X23500477