Holomorphic harmonic morphisms from cosymplectic almost Hermitian manifolds

• We study 4-dimensional Riemannian manifolds equipped with a minimal and conformal foliation F of codimension 2. We prove that the two adapted almost Hermitian structures J_1 and J_2 are both cosymplectic if and only if F is Riemannian and its horizontal distribution H is integrable.

Subject headings

NATURVETENSKAP  -- Matematik -- Geometri (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Geometry (hsv//eng)

Keyword

harmonic morphisms

holomorphic

cosymplectic

Publication and Content Type

art (subject category)

ref (subject category)