Piotr Z. Kobak
Explicit Doubly-Hermitian Metrics
Preprint series: ESI preprints

MSC:

53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)

53C55 Hermitian and Kahlerian manifolds, See also {32Cxx}

Abstract: We construct explicit examples of 4-dimensional Riemannian metrics which
admit precisely two independent hermitian structures with the same
orientation. It is shown that metrics of this type exist on
four-dimensional tori.

Keywords: Riemannian metric, Hermitian structure
Notes: second version