Results 1 to 10 of about 95 (90)
Geometric inequalities for warped product bi-slant submanifolds with a warping function. [PDF]
J Inequal Appl, 2018 In this paper, we prove that the squared norm of the second fundamental form for bi-slant submanifolds with any codimension of nearly trans-Sasakian manifolds is bounded below by the gradient of a warping function and also find the conditions on which the equality holds. Some related examples are also provided.
Siddiqui AN, Shahid MH, Lee JW.
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Generalized Wintgen inequality for BI-SLANT submanifolds in conformal Sasakian space form with quarter-symmetric connection [PDF]
Arab Journal of Mathematical Sciences, 2022 Purpose – In 1979, P. Wintgen obtained a basic relationship between the extrinsic normal curvature the intrinsic Gauss curvature, and squared mean curvature of any surface in a Euclidean 4-space with the equality holding if and only if the curvature ...
Mohd Aslam +2 more
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Warped Product Submanifolds in Locally Golden Riemannian Manifolds with a Slant Factor
Mathematics, 2021 In the present paper, we study some properties of warped product pointwise semi-slant and hemi-slant submanifolds in Golden Riemannian manifolds, and we construct examples in Euclidean spaces.
Cristina Elena Hreţcanu, Adara M Blaga
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MathematicsIn this article, we study the Ricci soliton on quaternion bi-slant submanifolds of quaternion Kaehler manifolds. We obtain a lower-bound-type inequality in terms of expanding gradient Ricci solitons with a gradient-type vector field for the quaternion bi-
Ali H. Hakami, Mohd Danish Siddiqi
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Bi-slant submanifolds of an S manifold [PDF]
Arab Journal of Mathematical Sciences, 2021 PurposeBi-slant submanifolds of S-manifolds are introduced, and some examples of these submanifolds are presented.Design/methodology/approachSome properties of Di-geodesic and Di-umbilical bi-slant submanifolds are examined.FindingsThe Riemannian curvature invariants of these submanifolds are computed, and some results are discussed with the help of ...
Aykut Akgün, Mehmet Gülbahar
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Warped product pointwise bi-slant submanifolds of kenmotsu manifolds [PDF]
Asian-European Journal of Mathematics, 2021 This paper deals with the study of warped product pointwise bi-slant submanifolds of Kenmotsu manifolds with an example. The characterization for such submanifold is also discussed. An inequality of such submanifold is obtained and its equality case is also considered.
Hui, Shyamal Kumar +2 more
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A note on quasi-bi-slant submanifolds of Sasakian manifolds [PDF]
Arabian Journal of Mathematics, 2021 AbstractThe object of the present paper is to study the notion of quasi-bi-slant submanifolds of almost contact metric manifolds as a generalization of slant, semi-slant, hemi-slant, bi-slant, and quasi-hemi-slant submanifolds. We study and characterize quasi-bi-slant submanifolds of Sasakian manifolds and provide non-trivial examples to signify that ...
Rajendra Prasad, Sandeep Kumar Verma
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Types of Submanifolds in Metallic Riemannian Manifolds: A Short Survey
Mathematics, 2021 We provide a brief survey on the properties of submanifolds in metallic Riemannian manifolds. We focus on slant, semi-slant and hemi-slant submanifolds in metallic Riemannian manifolds and, in particular, on invariant, anti-invariant and semi-invariant ...
Cristina E. Hretcanu, Adara M. Blaga
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On pointwise quasi bi-slant submanifolds
Filomat, 2022 In this paper, we introduce a new class of submanifolds which are called pointwise quasi bi-slant submanifolds in almost Hermitian manifolds which extends quasi bi-slant, bi-slant, hemi-slant, semi-slant and slant submanifolds in a very natural way. Several basic results in this respect are proved in this paper.
Mehmet Akyol +3 more
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Improved Chen’s Inequalities for Submanifolds of Generalized Sasakian-Space-Forms
Axioms, 2022 In this article, we derive Chen’s inequalities involving Chen’s δ-invariant δM, Riemannian invariant δ(m1,⋯,mk), Ricci curvature, Riemannian invariant Θk(2≤k≤m), the scalar curvature and the squared of the mean curvature for submanifolds of generalized ...
Yanlin Li +3 more
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