References
- P. Alegre, A. Carriazo, Y. H. Kim, and D. W. Yoon, B. Y. Chen's inequality for submanifolds of generalized space forms, Indian J. Pure Appl. Math. 38 (2007), no. 3, 185-201.
- M. Aquib, Bounds for generalized normalized δ-Casorati curvatures for bi-slant submanifolds in T-space forms, Filomat 32 (2018), no. 1, 329-340. https://doi.org/10.2298/fil1801329a
- M. Aquib, M. N. Boyom, M. H. Shahid, and G. E. Vilcu, The first fundamental equation and generalized wintgen-type inequalities for submanifolds in generalized space forms, Mathematics 7 (2019), 1151.
- M. Aquib, M. H. Shahid, and M. Jamali, Lower extremities for generalized normalized δ-Casorati curvatures of bi-slant submanifolds in generalized complex space forms, Kragujevac J. Math. 42 (2018), no. 4, 591-605. https://doi.org/10.5937/kgjmath1804591a
- R. L. Bishop and B. O'Neill, Manifolds of negative curvature, Trans. Amer. Math. Soc. 145 (1969), 1-49. https://doi.org/10.2307/1995057
- B.-Y. Chen, Geometry of warped product CR-submanifolds in Kaehler manifolds, Monatsh. Math. 133 (2001), no. 3, 177-195. https://doi.org/10.1007/s006050170019
- B.-Y. Chen, On isometric minimal immersions from warped products into real space forms, Proc. Edinb. Math. Soc. 45 (2002), 579-587. https://doi.org/10.1017/S001309150100075X
- B.-Y. Chen, Another general inequality for CR-warped products in complex space forms, Hokkaido Math. J. 32 (2003), no. 2, 415-444. https://doi.org/10.14492/hokmj/1350657533
- B.-Y. Chen, Geometry of warped product submanifolds: a survey, J. Adv. Math. Stud. 6 (2013), no. 2, 1-43.
- B.-Y. Chen, Differential Geometry of Warped Manifolds and Submanifolds, World Scientific, Hackensack, NJ, USA, 2017.
- B.-Y. Chen and O. J. Garay, Pointwise slant submanifolds in almost Hermitian manifolds, Turkish J. Math. 36 (2012), no. 4, 630-640.
- B.-Y. Chen and S. Uddin, Warped product pointwise bi-slant submanifolds of Kaehler manifolds, Publ. Math. Debrecen 92 (2018), no. 1-2, 183-199. https://doi.org/10.5486/PMD.2018.7882
- A. Friedmann and J. A. Schouten, Uber die Geometrie der halbsymmetrischen Ubertragungen, Math. Z. 21 (1924), no. 1, 211-223. https://doi.org/10.1007/BF01187468
- M. A. Khan and A. A. Ishan, CR-warped product submanifolds of a generalized complex space form, Cogent Math. 4 (2017), Art. ID 1306153, 13 pp. https://doi.org/10.1080/23311835.2017.1306153
- C. W. Lee, J. W. Lee, G. Vˆilcu, and D. W. Yoon, Optimal inequalities for the Casorati curvatures of submanifolds of generalized space forms endowed with semi-symmetric metric connections, Bull. Korean Math. Soc. 52 (2015), no. 5, 1631-1647. https://doi.org/10.4134/BKMS.2015.52.5.163
- A. Mihai, Warped product submanifolds in generalized complex space forms, Acta Math. Acad. Paedagog. Nyh'azi. (N.S.) 21 (2005), no. 1, 79-87.
- Z. Olszak, On the existence of generalized complex space forms, Israel J. Math. 65 (1989), no. 2, 214-218. https://doi.org/10.1007/BF02764861
- F. Tricerri and L. Vanhecke, Curvature tensors on almost Hermitian manifolds, Trnas. Amer. Math. J. 26 (2003), 85-94.
- S. Uddin, B.-Y. Chen, and F. R. Al-Solamy, Warped product bi-slant immersions in Kaehler manifolds, Mediterr. J. Math. 14 (2017), no. 2, Paper No. 95, 11 pp. https://doi.org/10.1007/s00009-017-0896-8