Results 11 to 20 of about 732,786 (72)
Advanced Science, Volume 10, Issue 35, December 15, 2023., 2023 High‐spatiotemporal‐resolution vector micro‐Doppler imaging (HVμDI) based on contrast‐free ultrafast high‐frequency ultrasound imaging is developed to visualize and quantify the cerebrovascular hemodynamics of the wild‐type (WT) and Alzheimer's disease (AD) mice.
Hsin Huang +8 more
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, 2022 In this paper, we establish some inequalities between the normalized δ-Casorati curvatures and the scalar curvature (i.e., between extrinsic and intrinsic invariants) of spacelike statistical submanifolds in Sasaki-like statistical manifolds ...
Simona Decu
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Cusps of hyperbolic 4‐manifolds and rational homology spheres
Proceedings of the London Mathematical Society, Volume 123, Issue 6, Page 636-648, December 2021., 2021 Abstract In the present paper, we construct a cusped hyperbolic 4‐manifold with all cusp sections homeomorphic to the Hantzsche–Wendt manifold, which is a rational homology sphere. By a result of Golénia and Moroianu, the Laplacian on 2‐forms on such a manifold has purely discrete spectrum. This shows that one of the main results of Mazzeo and Phillips
Leonardo Ferrari +2 more
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Quasicircles and width of Jordan curves in CP1
Bulletin of the London Mathematical Society, Volume 53, Issue 2, Page 507-523, April 2021., 2021 Abstract We study a notion of ‘width’ for Jordan curves in CP1, paying special attention to the class of quasicircles. The width of a Jordan curve is defined in terms of the geometry of its convex hull in hyperbolic three‐space. A similar invariant in the setting of anti‐de Sitter geometry was used by Bonsante–Schlenker to characterize quasicircles ...
Francesco Bonsante +3 more
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, 2023 In the present article, we consider submanifolds in golden Riemannian manifolds with constant golden sectional curvature. On such submanifolds, we prove geometric inequalities for the Casorati curvatures.
Ion Mihai, Majid Ali Choudhary
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Curvature Invariants of Statistical Submanifolds in Kenmotsu Statistical Manifolds of Constant ϕ-Sectional Curvature [PDF]
, 2018 In this article, we consider statistical submanifolds of Kenmotsu statistical manifolds of constant ϕ-sectional curvature. For such submanifold, we investigate curvature properties. We establish some inequalities involving the normalized δ-Casorati
Stefan Haesen +7 more
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Estimates of B.-Y. Chen’s δˆ-Invariant in Terms of Casorati Curvature and Mean Curvature for Strictly Convex Euclidean Hypersurfaces [PDF]
, 2019 B.-Y. Chen’s δˆ-invariants can be estimated in function of other curvature terms through an algebraic process using the AM-GM and AM-QM inequalities. This procedure works on strictly convexsmooth hypersurfaces lying in an Euclidean ambient space, and the
Vajiac, Mihaela, Suceava, Bogdan D.
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Surfaces with Constant Negative Curvature
, 2023 In this paper, we have considered surfaces with constant negative Gaussian curvature in the simply isotropic 3-Space by defined Sauer and Strubeckerr.
İbrahim Gürgil, Semra Kaya Nurkan
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Pinching Theorems for Statistical Submanifolds in Sasaki-Like Statistical Space Forms
, 2018 In this paper, we obtain the upper bounds for the normalized δ -Casorati curvatures and generalized normalized δ -Casorati curvatures for statistical submanifolds in Sasaki-like statistical manifolds with constant curvature. Further,
Ali H. Alkhaldi +9 more
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Inequalities on riemannian warped product submersions for vertical casorati curvatures
, 2023 The first and second authors introduced Riemannian warped product submersions and discussed interesting fundamental geometric properties of such submersions in Kupeli Erken and Murathan,.
Siddiqui, Aliya Naaz +2 more
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