On the bochner conformal curvature of Kähler-Norden manifolds

Karina Olszak

Open Mathematics (2005)

  • Volume: 3, Issue: 2, page 309-317
  • ISSN: 2391-5455

Abstract

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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.

How to cite

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Karina Olszak. "On the bochner conformal curvature of Kähler-Norden manifolds." Open Mathematics 3.2 (2005): 309-317. <http://eudml.org/doc/268784>.

@article{KarinaOlszak2005,
abstract = {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.},
author = {Karina Olszak},
journal = {Open Mathematics},
keywords = {53C15; 53C50; 53C56},
language = {eng},
number = {2},
pages = {309-317},
title = {On the bochner conformal curvature of Kähler-Norden manifolds},
url = {http://eudml.org/doc/268784},
volume = {3},
year = {2005},
}

TY - JOUR
AU - Karina Olszak
TI - On the bochner conformal curvature of Kähler-Norden manifolds
JO - Open Mathematics
PY - 2005
VL - 3
IS - 2
SP - 309
EP - 317
AB - 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.
LA - eng
KW - 53C15; 53C50; 53C56
UR - http://eudml.org/doc/268784
ER -

References

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