References
- P. Alegre and A. Carriazo, Slant submanifolds of para-Hermitian manifolds, Mediterr. J. Math., 14(5)(2017) Art. 214, 14 pp.
- G. Aydin and A. C. Coken, Slant submanifolds of semi-Riemannian manifolds, Int. J. Geom. Methods Mod. Phys., 10(10)(2013), 1350058, 13 pp. https://doi.org/10.1142/S0219887813500588
- R. L. Bishop and B. O'Neill, Manifolds of negative curvature, Trans. Amer. Math. Soc., 145(1969), 1-49. https://doi.org/10.1090/S0002-9947-1969-0251664-4
- B. Y. Chen, Geometry of submanifolds, Marcel Dekker, Inc., New York, 1973.
- B. Y. Chen, CR-submanifolds of a Kaehler manifold I, J. Differential Geometry, 16(1981), 305-322 https://doi.org/10.4310/jdg/1214436106
- B. Y. Chen, CR-submanifolds of a Kaehler manifold II, J. Differential Geometry, 16(1981), 493-509. https://doi.org/10.4310/jdg/1214436226
- B. Y. Chen, Slant immersion, Bull. Austral. Math. Soc., 41(1990), 135-147. https://doi.org/10.1017/S0004972700017925
- B. Y. Chen, Geometry of warped product CR-submanifolds in Kaehler manifolds, Monatsh. Math., 133(3)(2001), 177-195 https://doi.org/10.1007/s006050170019
- B. Y. Chen, Geometry of warped product CR-submanifolds in Kaehler manifolds II, Monatsh. Math., 134(2)(2001), 103-119. https://doi.org/10.1007/s006050170002
-
B. Y. Chen, Pseudo-Riemannian geometry
${\delta}$ -invariants and applications, World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2011. - B. Y. Chen, Differential geometry of warped product manifolds and submanifolds, World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2017.
- B. Y. Chen, Geometry of warped product and CR-warped product submanifolds in Kaehler manifolds: modified version, (2018), preprint, arXiv:1806.11102v1.
- B. Y. Chen and M. I. Munteanu, Geometry of PR-warped products in para-Kahler manifolds, Taiwanese J. Math., 16(4)(2012), 1293-1327. https://doi.org/10.11650/twjm/1500406736
- J. Davidov, G. Grantcharov and O. Mushkarov, Geometry of neutral metric in dimension four, (2008), preprint, arXiv:0804.2132v1.
- M. Dunajsky and S. West, Anti-self-dual conformal structures in neutral signature, Recent developments in pseudo-Riemannian Geometry, 113-148, ESI Lect. Math. Phys., Eur. Math. Soc., Zurich, 2008.
- F. Etayo, M. Fioravanti and U. R. Trias, On the submanifolds of an almost parahermitian manifold, Acta. Math. Hungar., 85(4)(1999), 277-286. https://doi.org/10.1023/A:1006779919681
- I. Hasegawa and I. Mihai, Contact CR-warped product submanifolds in Sasakian manifolds, Geom. Dedicata, 102(2003), 143-150. https://doi.org/10.1023/B:GEOM.0000006582.29685.22
- M. O. Katanaev, T. Klosch and W. Kummer, Global Properties of warped solutions in general relativity, Ann. Physics, 276(1999), 191-222. https://doi.org/10.1006/aphy.1999.5923
- P. V. Kreitler, Trends in black hole research, Nova Sci. Publishers, New York, 2005.
- P. Libermann, Sur le probleme dequivalence de certaines structures infnitesimales, Ann. Mat. Pura Appl, 36(1954), 27-120. https://doi.org/10.1007/BF02412833
- M. I. Munteanu, Warped product contact CR-submanifolds of Sasakian space forms, Publ. Math. Debrecen, 66(2005), 75-120.
- B. O'Neill, Semi-Riemannian geometry with applications to relativity, Academic Press, New York, 1983.
- H. Ooguri and C. Vafa, Self-duality and N = 2 string magic, Modern Phys. Lett. A, 5(18)(1990), 1389-1398. https://doi.org/10.1142/S021773239000158X
- J. Petean, Indefinite Kahler-Einstein metrics on compact complex surfaces, Commun. Math. Phys., 189(1997), 227-235. https://doi.org/10.1007/s002200050197
- B. Sahin, Non-existence of warped product semi-slant submanifolds of Kaehler manifolds, Geom. Dedicata, 117(2006), 195-202. https://doi.org/10.1007/s10711-005-9023-2
- A. Sharma and S. K. Srivastava, Non-existence of PR-pseudo slant warped product submanifolds in paracosymplectic manifolds, Arab. J. Math. (Springer), 9(1)(2020), 181--190. https://doi.org/10.1007/s40065-018-0234-4
- S. K. Srivastava and A. Sharma, Pointwise pseudo-slant warped product submanifolds in a Kahler manifold, Mediterr. J. Math., 14(2017), Art. 20, 18 pp.