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New insights on slant submanifolds in almost Hermitian geometry

  • Blaga, Adara M. [1]
    1. [1] West University of Timişoara

      West University of Timişoara

      Rumanía

  • Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 76, Fasc. 2, 2025, págs. 285-301
  • Idioma: inglés
  • DOI: 10.1007/s13348-024-00432-0
  • Texto completo no disponible (Saber más ...)
  • Resumen
    • We provide the necessary and sufficient condition for a pointwise slant submanifold with respect to two anti-commuting almost Hermitian structures to be also pointwise slant with respect to a family of almost Hermitian structures generated by them. On the other hand, we show that the property of being pointwise slant is transitive on a class of proper pointwise slant immersed submanifolds of almost Hermitian manifolds. We illustrate the results with suitable examples.

  • Referencias bibliográficas
    • Cabrerizo, J.L., Carriazo, A., Fernández, L.M., Fernández, M.: Slant submanifolds in Sasakian manifolds. Glasgow Math. J. 42, 125–138 (2000)
    • Chen, B.-Y.: Geometry of Slant Submanifolds. Katholieke Universiteit Leuven, Leuven (1990)
    • Chen, B.-Y.: Slant immersions. Bull. Aust. Math. Soc. 41, 135–147 (1990)
    • Chen, B.-Y., Garay, O.J.: Pointwise slant submanifolds in almost Hermitian manifolds. Turk. J. Math. 36, 630–640 (2012)
    • Chen, B.-Y., Shahid, M.H., Al-Solamy, F.R. (eds.): Complex Geometry of Slant Submanifolds. Springer, Singapore (2022)
    • Chen, B.-Y., Shahid, M.H., Al-Solamy, F.R. (eds.): Contact Geometry of Slant Submanifolds. Springer, Singapore (2022)
    • Etayo, F.: On quasi-slant submanifolds of an almost Hermitian manifold. Publ. Math. Debrecen. 53(1–2), 217–223 (1998)
    • Güvenç, Ş, Özgür, C.: On slant curves in S-manifolds. Commun. Korean Math. Soc. 33(1), 293–303 (2018)
    • Güvenç, Ş, Özgür, C.: On slant curves in trans-Sasakian manifolds. Rev. Unión Mat. Argentina 55(2), 81–100 (2014)
    • Laţcu, A.C., Laţcu, D.R.: Differentiability of the slant function of a general pointwise slant distribution. J. Geom. 113(2), 31 (2022)
    • Laţcu, D.R.: k--slant distributions
    • Lotta, A.: Slant submanifolds in contact geometry. Bull. Math. Soc. Roumanie 39, 183–198 (1996)
    • Özgür, C., Güvenç, Ş: On some types of slant curves in contact pseudo-Hermitian 3-manifolds. Ann. Polonici Mat. 3(104), 217–228 (2012)
    • Papaghiuc, N.: Semi-slant submanifolds of a Kaehlerian manifold. An. Stiint. Al. I. Cuza. Univ. Iasi 40, 55–61 (1994)
    • Park, K.S.: On the pointwise slant submanifolds. In: Suh, Y., Ohnita, Y., Zhou, J., Kim, B., Lee, H. (Eds.) Hermitian-Grassmannian Submanifolds....

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