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Geometry of Pointwise Slant Immersions in Almost Hermitian Manifolds

In: Complex Geometry of Slant Submanifolds

Author

Listed:
  • Ion Mihai

    (Faculty of Mathematics and Computer Science, University of Bucharest, Department of Mathematics)

  • Aliya Naaz Siddiqui

    (Maharishi Markandeshwar (Deemed to be) University, M.M. Engineering College)

  • Mohammad Hasan Shahid

    (Faculty of Natural Sciences, Department of Mathematics)

Abstract

In 1990, B.-Y. Chen defined the slant submanifolds in complex manifolds as a natural generalization of holomorphic and totally real submanifolds [9]. Examples of slant submanifolds in $$\mathbb {C}^{2}$$ C 2 and $$\mathbb {C}^{4}$$ C 4 were given by Chen and Tazawa [20, 21]. This study was extended by Lotta [28] in almost contact geometry and further investigated by Cabrerizo et al. in 2000. The theory of slant submanifolds became a very rich area of research for geometers. Slant submanifolds have been studied in different kinds of structures of almost Hermitian manifolds by several geometers.

Suggested Citation

  • Ion Mihai & Aliya Naaz Siddiqui & Mohammad Hasan Shahid, 2022. "Geometry of Pointwise Slant Immersions in Almost Hermitian Manifolds," Springer Books, in: Bang-Yen Chen & Mohammad Hasan Shahid & Falleh Al-Solamy (ed.), Complex Geometry of Slant Submanifolds, pages 281-325, Springer.
    • Handle: RePEc:spr:sprchp:978-981-16-0021-0_10
    DOI: 10.1007/978-981-16-0021-0_10
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