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Slant Submanifolds and Their Warped Products in Locally Product Riemannian Manifolds

In: Complex Geometry of Slant Submanifolds

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  • Siraj Uddin

    (King Abdulaziz University, Department of Mathematics, Faculty of Science)

Abstract

The geometry of slant submanifolds was initiated by Chen [15, 16] as a natural generalization of both holomorphic and totally real submanifolds. Since then, many geometers studied these submanifolds. A. Lotta defined and studied slant submanifolds in contact geometry [31, 32]. Papaghiuc [35] introduced semi-slant submanifolds. Cabrerizo et al. studied slant, semi-slant, hemi-slant, and bi-slant submanifold in contact geometry [13, 14]. Later, B. Sahin and M. Atceken studied slant, semi-slant, and bi-slant submanifolds of locally Riemannian product manifolds (for instance, see [8, 38]).

Suggested Citation

  • Siraj Uddin, 2022. "Slant Submanifolds and Their Warped Products in Locally Product Riemannian Manifolds," Springer Books, in: Bang-Yen Chen & Mohammad Hasan Shahid & Falleh Al-Solamy (ed.), Complex Geometry of Slant Submanifolds, pages 203-250, Springer.
    • Handle: RePEc:spr:sprchp:978-981-16-0021-0_8
    DOI: 10.1007/978-981-16-0021-0_8
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