On the bochner conformal curvature of Kähler-Norden manifolds

• Autorzy: Karina Olszak
• Języki publikacji: EN

Abstrakty

EN

Using the one-to-one correspondence between Kähler-Norden and holomorphic Riemannian metrics, important relations between various Riemannian invariants of manifolds endowed with such metrics were established in my previous paper [19]. In the presented paper, we prove that there is a strict relation between the holomorphic Weyl and Bochner conformal curvature tensors and similarly their covariant derivatives are strictly related. Especially, we find necessary and sufficient conditions for the holomorphic Weyl conformal curvature tensor of a Kähler-Norden manifold to be holomorphically recurrent.

Słowa kluczowe

EN

Kähler-Norden manifold; holomorphic Riemannian manifold; Bochner conformal curvature; Weyl holomorphic conformal curvature; 53C15; 53C50; 53C56

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2005
• Tom: 3
• Numer: 2
• Strony: 309-317

Daty

wydano

2005-06-01

online

2005-06-01

Twórcy

autor

Karina Olszak

• Wroclaw University of Technology

Bibliografia

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Identyfikatory

DOI

10.2478/BF02479206