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Sasakian manifold
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In this paper, we introduce point-wise slant submanifolds of almost contact and almost contact 3-structure manifolds. We characterize them, give some examples, and obtain necessary and sufficient conditions for a point-wise slant submanifold of a 3-Sasakian manifold to be a slant submanifold.
8p
danhdanh27
07-01-2019
17
2
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In this paper, conditions for K-contact, Sasakian, and cosymplectic structures to be invariant under gauge transformation are found. Moreover, the same question is studied for 3-Sasakian, 3-almost contact, and 3-cosymplectic manifolds.
9p
danhdanh27
07-01-2019
26
1
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In the paper, the authors studied conformally symmetric Para-Sasakian manifolds and they proved that an n-dimensional conformally symmetric Para-Sasakian manifold is conformally flat and SP-Sasakian.
9p
danhdanh27
07-01-2019
23
1
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The object ofthe present paper is to study the geometry oftrans-Sasakian manifold when it is projectively semi-symmetric, Weyl semi-symmetric and concircularly semi-symmetric.
11p
danhdanh27
07-01-2019
9
1
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In this paper we introduce the notions of semi-slant and bi-slant submanifolds of an almost contact 3-structure manifold. We give some examples and characterization theorems about these submanifolds. Moreover, the distributions of semi-slant submanifolds of 3-cosymplectic and 3-Sasakian manifolds are studied.
10p
tuongvidanh
06-01-2019
23
2
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We study both radical transversal and transversal lightlike submanifolds of indefinite Sasakian manifolds. We give examples, investigate the geometry of distributions and obtain necessary and sufficient conditions for the induced connection on these submanifolds to be metric connection.
23p
tuongvidanh
06-01-2019
34
2
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In this work, we define a new cross product in 3-dimensional almost contact metric manifold and we study the theory of curves using this new cross product in this manifold. Besides, in the works of Baikousis, Blair and Cho et al.
14p
tuongvidanh
06-01-2019
19
1
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In the present paper we obtain sharp estimates for the squared norm of the second fundamental form in terms of the mapping function for contact 3 -structure CR-warped products isometrically immersed in Sasakian space form.
8p
tuongvidanh
06-01-2019
20
2
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