On a class of exact locally conformal cosymplectic manifolds.
Mihai, I., Verstraelen, L., Rosca, R. (1996)
International Journal of Mathematics and Mathematical Sciences
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Mihai, I., Verstraelen, L., Rosca, R. (1996)
International Journal of Mathematics and Mathematical Sciences
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Mihai, Ion, Rosca, Radu, Ghişoiu, Valentin (2005)
International Journal of Mathematics and Mathematical Sciences
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Buchner, K., Roşca, R. (2000)
Balkan Journal of Geometry and its Applications (BJGA)
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Mihai, I., Nicolescu, L., Rosca, R. (1997)
Portugaliae Mathematica
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Leitner, Felipe
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Chung, Kyung Tae, Eun, Gwang Sik (1994)
International Journal of Mathematics and Mathematical Sciences
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Sharma, Ramesh (1989)
International Journal of Mathematics and Mathematical Sciences
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Takano, Kazuhiko (1991)
International Journal of Mathematics and Mathematical Sciences
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Georges Habib, Julien Roth (2012)
Open Mathematics
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We study the existence of a skew Killing spinor on 2- and 3-dimensional Riemannian spin manifolds. We establish the integrability conditions and prove that these spinor fields correspond to twistor spinors in the two dimensional case while, up to a conformal change of the metric, they correspond to parallel spinors in the three dimensional case.
Sharief Deshmukh, Falleh Al-Solamy (2008)
Colloquium Mathematicae
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It is proved that if an n-dimensional compact connected Riemannian manifold (M,g) with Ricci curvature Ric satisfying 0 < Ric ≤ (n-1)(2-nc/λ₁)c for a constant c admits a nonzero conformal gradient vector field, then it is isometric to Sⁿ(c), where λ₁ is the first nonzero eigenvalue of the Laplacian operator on M. Also, it is observed that existence of a nonzero conformal gradient vector field on an n-dimensional compact connected Einstein manifold...