Sasakian manifolds with vanishing C-Bochner curvature tensor

Choi, Eun-Hee; Ki, U-Hang; Takano, Kazuhiko

doi:10.1007/bf01876048

Cited by 2 publications

(2 citation statements)

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“…The Endo curvature tensor reduces to C -Bochner curvature tensor in a Sasakian manifold. A number of results for Sasakian manifolds with vanishing C -Bochner curvature tensor can be found in [5], [7], [8], [11], [12] etc.. Here, we list some known results for Sasakian manifolds with vanishing C -Bochner curvature tensor in the following two Theorems.…”

Section: (Kµ)-manifolds With Vanishing Endo Curvature Tensormentioning

confidence: 99%

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On endo curvature tensor of a contact metric manifold

Dwivedi¹,

Jun²,

Tripathi³

2008

Tamkang J. Math.

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We prove that a $ ( k ,\mu ) $-manifold with vanishing Endo curvature tensor is a Sasakian manifold. We find a necessary and sufficient condition for a non-Sasakian $ ( k ,\mu ) $-manifold %$M$ whose Endo curvature tensor $ B^{es} $ satisfies $ B^{es}(\xi ,X) \cdot S=0 $, where $S$ is the Ricci tensor. Using $ {\cal D} $-homothetic deformation we obtain an example of an $ N\left( k\right) $-contact metric manifold on which $ B^{es}(\xi ,X)\cdot S\neq 0 $.

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Section: (Kµ)-manifolds With Vanishing Endo Curvature Tensormentioning

confidence: 99%

“…(Theorem 4.1, [9]) If (i) n ≥ 2, (ii) the scalar curvature is constant and (iii) the smallest eigenvalue of the Ricci tensor is greater than −2, then M 2n+1 is η-Einstein.3. (Theorem C,[5]) If (i) n ≥ 3, (ii) the length of the Ricci tensor is constant and (iii) the length of the η-Einstein tensor…”

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confidence: 99%

On endo curvature tensor of a contact metric manifold

Dwivedi¹,

Jun²,

Tripathi³

2008

Tamkang J. Math.

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Thermal Radiation Effects on MHD with Flow Heat and Mass Transfer in Casson Nanofluid over A Stretching Sheet

Kho

Hussanan

Sarif

et al. 2018

MATEC Web of Conferences

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Abstract. The boundary layer heat and mass transfer flow of Casson nanofluid over a stretching sheet with constant wall temperature (CWT) under the magnetic field and thermal radiation effects is investigated numerically. Using similarity transformations, the governing equations are reduced to a set of nonlinear ordinary differential equations (ODEs). These equations are solved numerically by Shooting method. The effects of Casson parameter, magnetic parameter, porosity parameter, radiation parameter, Prandtl number, Brownian parameter and thermophoresis parameter on velocity, temperature and concentration fields are shown graphically and discussed. The results show that increase in Casson parameter causes the wall temperature increase well in the nanofluid.

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Sasakian manifolds with vanishing C-Bochner curvature tensor

Cited by 2 publications

References 10 publications

On endo curvature tensor of a contact metric manifold

On endo curvature tensor of a contact metric manifold

Thermal Radiation Effects on MHD with Flow Heat and Mass Transfer in Casson Nanofluid over A Stretching Sheet

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