On weakly conformally symmetric manifolds.
Shaikh, A.A., Shahid, M.Hasan, Hui, Shyamal Kumar (2008)
Matematichki Vesnik
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Shaikh, A.A., Shahid, M.Hasan, Hui, Shyamal Kumar (2008)
Matematichki Vesnik
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Ozturk, Hakan, Aktan, Nesip, Murathan, Cengizhan (2010)
APPS. Applied Sciences
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Stanisław Ewert-Krzemieniewski (1991)
Colloquium Mathematicae
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Hiroshi Endo (1993)
Colloquium Mathematicae
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On Sasakian manifolds, Matsumoto and Chūman [3] defined a contact Bochner curvature tensor (see also Yano [7]) which is invariant under D-homothetic deformations (for D-homothetic deformations, see Tanno [5]). On the other hand, Tricerri and Vanhecke [6] defined a general Bochner curvature tensor with conformal invariance on almost Hermitian manifolds. In this paper we define an extended contact Bochner curvature tensor which is invariant under D-homothetic deformations of contact metric...
Novica Blažić (2005)
Kragujevac Journal of Mathematics
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Ewert-Krzemieniewski, Stanisław (2003)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Karina Olszak (2005)
Open Mathematics
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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...
Absos Ali Shaikh, Ananta Patra (2010)
Archivum Mathematicum
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The object of the present paper is to introduce a non-flat Riemannian manifold called hyper-generalized recurrent manifolds and study its various geometric properties along with the existence of a proper example.