Sasakian Manifold
Some Curvature Conditions on a Para Sasakian Manifold with Canonical Paracontact Connection
... para-Sasakian manifold is of constant scalar ...para-Sasakian manifold satisfying Zξ, X · R 0 with respect to canonical paracontact connection, is either of constant scalar curvature or an ...
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Some Properties of CR Submanifolds of a Nearly Trans Sasakian Manifold with a Semi Symmetric Non Metric Connection
... Kaehler manifold [1]. Later on, CR -submanifolds of a Sasakian manifold were studied by ...metric manifold known as trans-Sasakian manifold ...-Kenmotsu manifold [5]. CR ...
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On Generalized φ Recurrent Sasakian Manifolds
... φ-recurrent Sasakian manifold and study its various geometric properties with the existence of such ...φ-recurrent Sasakian manifolds. The existence of generalized φ-recurrent Sasakian ...
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Rank and k nullity of contact manifolds
... closed Sasakian manifold M of rank l is at least equal to 2l−1 provided that M has an isolated closed ...not Sasakian. On a closed, 2n + 1-dimensional Sasakian manifold of positive ...
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Lightlike Submanifolds of Indefinite Sasakian Manifolds
... Theorem 2.3. Let (M, g,S(TM), S(TM ⊥ )) be an invariant lightlike submanifold of codi- mension two of an indefinite Sasakian manifold M. Suppose (M ,g ) is a nondegenerate submanifold of M such that M is a ...
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On Sectional Curvatures of (ε) Sasakian Manifolds
... time-like Sasakian manifold and M is a space-like Sasakian manifold when = − 1 and v = ...usual Sasakian manifold and for = 1 and v = 1, M is a Lorentz-Sasakian ...
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Geodesic Lightlike Submanifolds of Indefinite Sasakian Manifolds
... V (2.15) The ( , , , ) V g is called a contact metric structure of M . If N d V = 0 , we say that M has a normal contact structure, where N is the Nijenhuis tensor field of . A normal contact ...
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Generalized Transversal Lightlike Submanifolds of Indefinite Sasakian Manifolds
... In this section, we define a class of lightlike submanifolds of indefinite Sasakian manifolds and study the geometry of such lightlike submanifolds. Firstly, we recall the following lemma. Lemma 3.1 see 4. Let M ...
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ø Pseudo Symmetric ε Para Sasakian Manifolds
... n-dimensional manifold is denoted by ( PRS ) n ...-symmetric Sasakian manifold was introduced by Takahashi [18] due to a weaker version of locally ...-symmetric Sasakian manifolds, De et al ...
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P Sasakian Manifold with Quarter Symmetric Non Metric Connection
... P-Sasakian manifold with quarter symmetric non-metric ...P-Sasakian manifold with respect to quarter symmetric non-metric connection, ...Para-Sasakian manifold with quarter ...
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CR submanifolds of a nearly trans Sasakian manifold
... a Sasakian manifold have been studied by Kobayashi [6], Shahid et ...metric manifold known as trans- Sasakian manifold ...β-Kenmotsu manifold [5]. Geometry of CR-submanifold of ...
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The local moduli of Sasakian 3 manifolds
... closed Sasakian 3-manifold, then M × R is a locally conformally Kähler manifold with parallel Lee ...nonspherical Sasakian 3-manifolds. It has also been shown that any Sasakian-Einstein ...
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CFD Simulation for Manifold with Taperedlongitudinal Section
... the manifold axis. As seen in the figure, the distribution manifold is fed from one end with fluid and the fluid discharge to atmospheric pressure at five ...traditional manifold design does not give ...
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Sub-Laplacian eigenvalue bounds on sub-Riemannian manifolds
... on Sasakian manifolds with a lower Ricci curvature ...on Sasakian vol- ume comparison theorems, and use them to obtain lower bounds for the counting function, leading to Sasakian versions of ...
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Atomizing nozzle and process
... gas manifold having a divergent expansion chamber between a gas inlet and arcuate manifold segment to minimize standing shock wave patterns in the manifold and thereby improve filling of the ...
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Spontaneous Emergence of Physical Structures and Observable Formations: Fluctuations, Waves, Turbulent Pulsations and So on
... Such emerged formations are described by generalized solutions to the equations of mathematical physics. The functions that correspond to generalized solutions, as it is known, are discrete functions. Such functions or ...
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Geometric inequalities for warped product bi slant submanifolds with a warping function
... We consider a Riemannian submanifold M isometrically immersed in an odd dimen- sional almost contact metric manifold (M, ϕ, ξ , υ, g) with induced metric g. We denote the Lie algebra of vector fields in M and the ...
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Atomizing nozzle and process
... gas manifold having a divergent expansion chamber between a gas inlet and arcuate manifold segment to minimize standing shock wave patterns in the manifold and thereby improve filling of the ...
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Study on hyperbolically sasakian recurrent and symmetric Spaces of second order
... hyperbolically Sasakian Tachibana H-Concircular symmetric of second order, then it must also satisfy the ...hyperbolically Sasakian Ricci-symmetric space of second order, a hyperbolically Sasakian ...
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Semi invariant warped product submanifolds of almost contact manifolds
... metric manifold. Since generalized Sasakian space forms include all the classes of almost contact metric manifold, so we have obtained an inequality for squared norm of second fundamental form for ...
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