English

Harmonic Complex Structures

Differential Geometry 2010-07-27 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1007.4392,
  title  = {Harmonic Complex Structures},
  author = {Jianming Wan},
  journal= {arXiv preprint arXiv:1007.4392},
  year   = {2010}
}

Comments

6 pages

R2 v1 2026-06-21T15:52:52.994Z