Titlebook: Complex Geometry of Slant Submanifolds; Bang-Yen Chen,Mohammad Hasan Shahid,Falleh Al-Sola Book 2022 The Editor(s) (if applicable) and The

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,An Overview of Recent Developments in?Slant Submanifolds,Slant submanifolds were defined in the nineties by B.-Y. Chen and the corresponding theory has had an increasing development.

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Slant Geometry of Warped Products in Kaehler and Nearly Kaehler Manifolds,Among submanifolds of an almost Hermitian manifold . endowed with a Riemannian metric . and a compatible almost complex structure ., a . . of . is characterized.

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Slant Submanifolds of the Nearly Kaehler 6-Sphere,By a result of Butruille, [.], the nearly Kaehler 6-sphere is one of 4 homogeneous 6-dimensional strict nearly Kaehler manifolds. Its almost complex structure is introduced by considering . as the imaginary Cayley numbers.

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Slant Submanifolds of Para Hermitian Manifolds,In [.], Chen introduced slant submanifolds of an almost Hermitian manifold, as those submanifolds for which the angle between . and the tangent space is constant, for any tangent vector field .. These submanifolds play an intermediate role between complex submanifolds and totally real ones.

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https://doi.org/10.1007/978-981-16-0021-0differential geometry; submanifolds; slant submanifolds; Kaehler 6-Sphere; Semi-Riemannian geometry; metr

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978-981-16-0023-4The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor

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https://doi.org/10.1007/978-3-322-95147-2ent bundle of a submanifold with respect to the action of the almost complex structure . of the ambient manifold, there are three important classes of submanifolds, namely complex submanifolds, totally real submanifolds, and slant submanifolds.

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Staatensouver?nit?t und ius cogensresults for hemi-slant submanifolds. In Sect.?2, we prove new results for warped product hemi-slant submanifolds. In Sect.?3, we provide a survey of recent results for semi-slant submanifolds. In the last section, we prove new results and give some remarkable recent results for warped product semi-s