Dergiler / International Electronic Journal of Geometry / 2020 / Cilt: 13 - Sayı: 2

Kählerian Structure on the Product of Two Trans-Sasakian Manifolds

Sayfa
135–143
Yayın Tarihi
2022-10-18
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Concrete examples are given.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:It’s shown that for some changes of metrics and structural tensors, the product of two trans-Sasakian manifolds is a Kählerian manifold.
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Temel Bulgular & Veri:This gives new positive answer and more generallyto Blair-Oubin˜a’s open question. (See [7] and [17]).
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Sonuç & Katkı:Concrete examples are given.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

It’s shown that for some changes of metrics and structural tensors, the product of two trans-Sasakian manifolds is a Kählerian manifold. This gives new positive answer and more generallyto Blair-Oubin˜a’s open question. (See [7] and [17]). Concrete examples are given.

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Bu Makaleye Atıf Yap

BELDJILALI, G., BOUZIR, H. (2022). Kählerian Structure on the Product of Two Trans-Sasakian Manifolds. International Electronic Journal of Geometry, Cilt: 13 - Sayı: 2, 135–143. https://ajindex.com/articles/539620

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  1. 1] Alegre, P. and Carriazo, A.: Generalized Sasakian Space Forms and Conformal Changes of the Metric. Results Math. 59, 485-493 (2011). [2] Beldjilali, G. and Belkhelfa, M.: Kählerian structures on generalized doubly D-homothetic Bi-warping. African Diaspora Journal of Mathematics, Vol. 21(2), 1-14 (2018). [3] Beldjilali, G.: Structures and D-isometric warping. HSIG, 2(1), 21-29 (2020). [4] Boyer, C.P., Galicki, K. and Matzeu, P.: On Eta-Einstein Sasakian Geometry. Comm.Math. Phys., 262, 177-208 (2006). [5] Blair, D. E.: Riemannian Geometry of Contact and Symplectic Manifolds. Progress in Mathematics 203, Birhauser, Boston, (2002). [6] Blair D. E.: D-homothetic warping and appolications to geometric structures and cosmology. African Diaspora Journal of Math. 14, 134-144 (2013). [7] Blair, D. E. and Oubin˜a, J. A.: Conformal and related changes of metric on the product of two almost contact metric manifolds. Publ. Math. 34, 199-207 (1990). [8] Caprusi, M.: Some remarks on the product of two almost contact manifolds. An. tiin. Univ. Al. I. Cuza Iad Sec. I a Mat. 30, 75-79 (1984). [9] De, U.C. and Tripathi, M. M.: Ricci Tensor in 3-dimensional Trans-Sasakian Manifolds. Kyungpook Math. J. 43, 247-255 (2003). [10] Marrero, J. C.: The local structure of trans-Sasakian manifolds. Annali di Matematica Pura ed Applicata, 162(1), 77-86 (1992). [11] Morimoto, A.: On normal almost contact metric structures. J. Math. Soc. Japan, vol. 15(4), 1963. [12] Olszak, Z.: Normal almost contact manifolds of dimension three. Annales Polonici Mathematici 47(1), 41-50 (1986). [13] Özdemir, N., Aktay, S. and Solgun, M.: On Generalized D-Conformal Deformations of Certain Almost Contact Metric Manifolds. Mathematics, 7, 168; doi:10.3390/math7020168. (2019). [14] Özdemir, N., Aktay, S. and Solgun, M.: Almost Hermitian structures on the products of two almost contact metric manifolds. Differ Geom Dyn Syst. 18, 102-109 (2016). [15] Oubin˜a, J. A.: New classes of almost contact metric structures. Publ. Math. Debrecen, 32, 187-193 (1985). [16] Sharfuddin, A. and Hussain, S. I.: Almost contact structures induced by a conformal trasformation. Pub. Inst. Math. 32(46), 155-159 (1982). [17] Tanno, S.: The topology of contact Riemannian manifolds. Illinois J. Math. 12, 700-717 (1968). [18] Watanabe, Y.: Almost Hermitian and Kähler structures on product manifolds. Proc of the Thirteenth International Workshop on Diff. Geom., 13, 1-16 (2009). [19] Yano, K. and Kon, M.: Structures on Manifold