English

Some remarks on special K\"ahler geometry

Mathematical Physics 2011-11-10 v3 Differential Geometry math.MP

Abstract

Given a special Kahler manifold M, we give a new, direct proof of the relationship between the quaternionic structure on its cotangent bundle and the variation of Hodge structures on the complexification of TM.

Keywords

Cite

@article{arxiv.math-ph/0702028,
  title  = {Some remarks on special K\"ahler geometry},
  author = {Claudio Bartocci and Igor Mencattini},
  journal= {arXiv preprint arXiv:math-ph/0702028},
  year   = {2011}
}

Comments

Revised version; 14 pages

R2 v1 2026-07-22T16:29:09.579Z