Harmonic Complex Structures

Details Harmonic Complex Structures Harmonic Complex Structures

2010-07-26

arxiv.org/abs/1007.4392v1

Mathematics

Differential Geometry

6 pages

Scientific paper

In this paper, we introduce a new concept so called harmonic complex
structure by using harmonic theory for vector bundle-valued differential forms.
It is a new structure intermediates between complex structure and K\"ahler
structure. From differential geometric viewpoint, it is a natural
generalization of K\"ahler structure.

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