Results 31 to 40 of about 777 (268)
On Submanifolds of $N(k)$-Quasi Einstein Manifolds with a Type of Semi-Symmetric Metric Connection
Universal Journal of Mathematics and Applications, 2020 In this study, we consider the $ N(k)- $quasi Einstein manifolds with respect to a type of semi-symmetric metric connection. We suppose that the generator of $ N(k)- $quasi-Einstein manifolds is parallel with respect to semi-symmetric metric connection
İnan Ünal
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Noninvariant Hypersurfaces of a Nearly Trans-Sasakian Manifolds
Journal of Mathematics, 2014 The present paper focuses on the study of noninvariant hypersurfaces of a nearly trans-Sasakian manifold equipped with (f,g,u,v,λ)-structure. Initially some properties of this structure have been discussed.
Satya Prakash Yadav, Shyam Kishor
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Totally Geodesic Subalgebras of Nilpotent Lie Algebras
Journal of Lie Theory, 2013 A metric Lie algebra g is a Lie algebra equipped with an inner product. A subalgebra h of a metric Lie algebra g is said to be totally geodesic if the Lie subgroup corresponding to h is a totally geodesic submanifold relative to the left-invariant Riemannian metric defined by the inner product, on the simply connected Lie group associated to g.
Cairns, Grant +2 more
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Advanced Materials, EarlyView.ABSTRACT The accelerating expansion of data‐centric technologies is sharply increasing the energy burden of information storage, placing unprecedented pressure on the efficiency of magnetic switching. Conventional field‐driven reversal, once the foundation of magnetic memory, has become impractical in modern architectures due to its high energy cost ...
Mohammad H. Badarneh +2 more
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On Minimal Hypersurfaces of a Unit Sphere
Mathematics, 2021 Minimal compact hypersurface in the unit sphere Sn+1 having squared length of shape operator A22), provided the scalar curvature τ is a constant on integral curves of w.
Amira Ishan +3 more
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Random Manifolds Have No Totally Geodesic Submanifolds [PDF]
Michigan Mathematical Journal, 2019 V2: minor changes to address referees' reports, calculations in the local construction have been made more explicit.
Murphy, Thomas, Wilhelm, Frederick
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Advanced Science, EarlyView.scTIDE identifies single‐cell tipping points by combining manifold‐based graph representations with optimal‐transport conditional flow matching, which preserves intrinsic topology and models distributional dynamics. It supports critical‐transition detection at individual‐cell resolution, prediction of unseen cells, and dimensionality reduction and ...
Jiayuan Zhong +6 more
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On Geodesic Triangles in Non-Euclidean Geometry
FoundationsIn this paper, we study centroids, orthocenters, circumcenters, and incenters of geodesic triangles in non-Euclidean geometry, and we discuss the existence of the Euler line in this context.
Antonella Nannicini, Donato Pertici
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Mathematische Annalen, 1970 In this article we consider foliations with certain properties common to several geometrically defined ones. We show that their codimension is either large or zero. As an application we obtain characterisations of the totally geodesic, complete submanifolds of S N and C pN which for most dimensions are sharper than those given by Nomizu [6], Abe [1 ...
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Totally geodesic subvarieties in the moduli space of curves [PDF]
Communications in Contemporary Mathematics, 2020 In this paper, we study totally geodesic subvarieties [Formula: see text] of the moduli space of principally polarized abelian varieties with respect to the Siegel metric, for [Formula: see text]. We prove that if [Formula: see text] is generically contained in the Torelli locus, then [Formula: see text].
Alessandro Ghigi +2 more
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