TY - JOUR T1 - Doubly Warped Products in Locally Conformal Almost Cosymplectic Manifolds AU - Olteanu, Andreea PY - 2017 DA - October DO - 10.36890/iejg.545055 JF - International Electronic Journal of Geometry JO - Int. Electron. J. Geom. PB - Kazım İlarslan WT - DergiPark SN - 1307-5624 SP - 73 EP - 81 VL - 10 IS - 2 LA - en AB - Recently, the author established a general inequality for doubly warped products in arbitraryRiemannian manifolds [16]. In the present paper, we obtain similar inequalities for doublywarped products isometrically immersed in locally conformal almost cosymplectic manifolds.Some applications are derived. KW - Doubly warped product KW - minimal immersion KW - totally real submanifold KW - locally conformal almost cosymplectic manifold CR - [1] Bishop, R. L. and O’Neill, B., Manifolds of negative curvature. Trans. Amer. Math. Soc. 145 (1969), 1-49. CR - [2] Blair, D. E., Contact Manifolds in Riemannian Geometry. Lecture Notes in Math. 509, Springer, Berlin, 1976. CR - [3] Chen, B. Y., Some pinching and classification theorems for minimal submanifolds. Arch. Math. 60 (1993), 568-578. CR - [4] Chen, B. Y., On isometric minimal immersions from warped products into real space forms. Proc. Edinburgh Math. Soc. 45 (2002), 579-587. CR - [5] Chen, B. Y. and Dillen, F., Optimal inequalities for multiply warped product submanifolds. Int. Electron. J. Geom., Vol. 1 (2008), 1-11. CR - [6] Crasmareanu, M., Adapted metrics andWebster curvature on three classes of 3-dimensional geometries. Int. Electron. J. Geom., 7 (2) (2014), 37-46. CR - [7] Malek, F. and Nejadakbary, V.,Warped product submanifold in generalized Sasakian space form. Acta Math. Acad. Paedagog. Nyhazi. (N.S.) 27 no. 2 (2011), 325-338. CR - [8] Matsumoto, K. and Mihai, I., Warped product submanifolds in Sasakian space forms. SUT Journal of Mathematics 38 (2002), 135-144. CR - [9] Matsumoto, K., Mihai, I. and Rosca, R., A certain locally conformal almost cosymplectic manifold and its submanifolds. Tensor N.S. 51 (1) (1992), 91-102. CR - [10] Mihai, A., Warped product submanifolds in complex space forms. Acta Sci. Math. (Szeged) 70 (2004), 419-427. CR - [11] Mihai, A., Warped product submanifolds in quaternion space forms. Rev. Roumaine Math. Pures Appl. 50 (2005), 283-291. CR - [12] Mihai, A., Mihai I. and Miron, R. (Eds.), Topics in Differential Geometry, Ed. Academiei Romane, Bucuresti, 2008. CR - [13] Mihai, I. and Presura, I., An improved Chen first inequality for Legendrian submanifolds in Sasakian space forms. Period. Math. Hung. 74 (2) (2017), 220-226. CR - [14] Murathan, C., Arslan, K., Ezentas, R. and Mihai, I.,Warped product submanifolds in Kenmotsu space forms. Taiwanese J. Math. 10 (2006), 1431-1441. CR - [15] Olszak, Z., Locally conformal almost cosymplectic manifolds. Collq. Math. 57(1) (1989), 73-87. CR - [16] Olteanu, A., A general inequality for doubly warped product submanifolds. Math. J. Okayama Univ. 52 (2010), 133-142. CR - [17] Olteanu, A., Recent results in the geometry of warped product submanifolds, Matrix Rom, 2011. CR - [18] Olteanu, A., Doubly warped product submanifolds in generalized Sasakian space forms, Proceedings RIGA 2014, Ed. Univ. Bucuresti (2014), 174-184. CR - [19] Olteanu, A., Doubly warped products in S-space forms. Rom. J. Math. Comput. Sci. 4 Issue 1 (2014), 111-124. CR - [20] Ünal, B., Doubly warped products. Differ. Geom. App. 15(3) (2001), 253-263. CR - [21] Yoon, D. W., Cho, K. S. and Han, S. G., Some inequalities for warped products in locally conformal almost cosymplectic manifolds. Note Mat. 23 (1) (2004), 51-60. UR - https://doi.org/10.36890/iejg.545055 L1 - https://dergipark.org.tr/en/download/article-file/680440 ER -