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Forms and currents defining generalized p-Kähler structures
- Source :
- Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg. 88:217-245
- Publication Year :
- 2018
- Publisher :
- Springer Science and Business Media LLC, 2018.
-
Abstract
- This paper is devoted, first of all, to give a complete unified proof of the characterization theorem for compact generalized Kahler manifolds. The proof is based on the classical duality between “closed” positive forms and “exact” positive currents. In the last part of the paper we approach the general case of non compact complex manifolds, where “exact” positive forms seem to play a more significant role than “closed” forms. In this setting, we state the appropriate characterization theorems and give some interesting applications.
- Subjects :
- Pure mathematics
General Mathematics
010102 general mathematics
Duality (mathematics)
State (functional analysis)
Characterization (mathematics)
01 natural sciences
Number theory
Differential geometry
0103 physical sciences
010307 mathematical physics
0101 mathematics
Algebra over a field
Topology (chemistry)
Mathematics
Subjects
Details
- ISSN :
- 18658784 and 00255858
- Volume :
- 88
- Database :
- OpenAIRE
- Journal :
- Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
- Accession number :
- edsair.doi...........9b8c1f6976abf80fa1c5efdab4e6df38