Results 31 to 40 of about 10,722 (208)
We provide an introduction to the theory of calibrated submanifolds through the key examples related with special holonomy. We focus on calibrated geometry in Calabi-Yau, G$_2$ and Spin(7) manifolds, and describe fundamental results and techniques in the field.
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Slant and Semi-Slant Submanifolds in Metallic Riemannian Manifolds
The aim of our paper is to focus on some properties of slant and semi-slant submanifolds of metallic Riemannian manifolds. We give some characterizations for submanifolds to be slant or semi-slant submanifolds in metallic or Golden Riemannian manifolds ...
Cristina E. Hretcanu, Adara M. Blaga
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Transcendental submanifolds of Rn
5 pages, 1 ...
Akbulut, S., King, H.
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Bounds for Statistical Curvatures of Submanifolds in Kenmotsu-like Statistical Manifolds
In this article, we obtain certain bounds for statistical curvatures of submanifolds with any codimension of Kenmotsu-like statistical manifolds. In this context, we construct a class of optimum inequalities for submanifolds in Kenmotsu-like statistical ...
Aliya Naaz Siddiqui +2 more
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Conformal submanifolds, distinguished submanifolds, and integrability
For conformal geometries of Riemannian signature, we provide a comprehensive and explicit treatment of the core local theory for embedded submanifolds of arbitrary dimension. This is based in the conformal tractor calculus and includes a conformally invariant Gauss formula leading to conformal versions of the Gauss, Codazzi, and Ricci equations.
Curry, Sean. N +2 more
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A Study of Doubly Warped Product Immersions in a Nearly Trans-Sasakian Manifold with Slant Factor
In this article, we discuss the de Rham cohomology class for bislant submanifolds in nearly trans-Sasakian manifolds. Moreover, we give a classification of warped product bislant submanifolds in nearly trans-Sasakian manifolds with some nontrivial ...
Ali H. Alkhaldi +3 more
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Submanifolds of Euclidean space with parallel mean curvature vector
The object of the paper is to study some compact submanifolds in the Euclidean space Rn whose mean curvature vector is parallel in the normal bundle.
Tahsin Ghazal, Sharief Deshmukh
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In 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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Some Pinching Results for Bi-Slant Submanifolds in S-Space Forms
The objective of the present article is to prove two geometric inequalities for submanifolds in S-space forms. First, we establish inequalities for the generalized normalized δ-Casorati curvatures for bi-slant submanifolds in S-space forms and then we ...
Mohd Aquib +3 more
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Conformai deformation of a close Riemannian submanifold to minimal submanifold
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xu, Senlin, Xia, Qinglan
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