On irrotational D-conformal curvature tensor.
Begewadi, C.S., Kumar, E.Girish, Venkatesha (2005)
Novi Sad Journal of Mathematics
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Begewadi, C.S., Kumar, E.Girish, Venkatesha (2005)
Novi Sad Journal of Mathematics
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Stanisław Ewert-Krzemieniewski (1991)
Colloquium Mathematicae
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W. Roter (1991)
Colloquium Mathematicae
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Ozturk, Hakan, Aktan, Nesip, Murathan, Cengizhan (2010)
APPS. Applied Sciences
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Novica Blažić (2005)
Kragujevac Journal of Mathematics
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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.
Ewert-Krzemieniewski, Stanisław (2003)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Uday Chand De, Prajjwal Pal (2014)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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The purpose of the present paper is to study generalized M-projectively recurrent manifolds. Some geometric properties of generalized M projectively recurrent manifolds have been studied under certain curvature conditions. An application of such a manifold in the theory of relativity has also been shown. Finally, we give an example of a generalized M-projectively recurrent manifold.