Higher-dimensional Gray Hermitian manifolds

Autores: Wlodzimierz Jelonek
Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 80, Nº 3, 2009, págs. 729-749
Idioma: inglés
DOI: 10.1112/jlms/jdp050
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Resumen
- The aim of this paper is to classify compact, Riemannian, Hermitian conformally K¨ahler manifolds (M,g, J) whose Ricci tensor ñ is J-invariant and satisfies the condition that ñ .
  
  (2ô/(dimM + 2))g is a Killing tensor, where ô is the scalar curvature of (M,g). We classify such manifolds whose Ricci tensor has two eigenvalues and two-dimensional, totally geodesic eigendistribution.