Titlebook: Geometry of Submanifolds and Applications; Bang-Yen Chen,Majid Ali Choudhary,Mohammad Nazrul Book 2024 The Editor(s) (if applicable) and

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Submersion on Statistical Metallic Structure, on manifolds using the metallic ratio, which is a generalization of the Golden proportion. We further discuss statistical metallic manifolds and statistical submersions, and we study Riemannian submersion. Also, we give some properties of the metallic Riemannian metric and statistical submersion of the metallic structure.

Allodynia

MORPH

2363-6149 for scientists and graduate students.Showcases the latest fiThis book features chapters written by renowned scientists from various parts of the world, providing an up-to-date survey of submanifold theory, spanning diverse topics and applications. The book covers a wide range of topics such as Chen–

seduce

https://doi.org/10.1007/978-3-663-13457-2undamental properties, then we deduce some properties about the complex manifolds associated with them. We show the existence of such manifolds by giving some non-trivial examples. Finally, we establish an interesting class and construct a concrete example.

惡名聲

Einkommens- und Besch?ftigungstheorie, where . is the classical curvature function of .. Several examples are discussed, some of them in relationship with the usual theory of regular space curves. The case of Lorentz–Minkowski sphere . is sketched only from the point of view of the geodesic curvature.

Crater

,Die S?ulen der Kostenreduzierung,here have been many papers dealing with this inequality. The purpose of this article is thus to present a comprehensive survey on recent developments in this inequality done by many geometers during the last 25 years.

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難解

,Gravity and?Dark Matter in?the?Framework of?Metric-Affine Geometry,ns. The first equation retrieves Einstein field equation. The other equation describes matter in space-time. In this framework, the affine connection is related to the concept that is well-known as dark matter, so dark matter can be interpreted as a factor which leads curving and twirling of space-time manifold.

預(yù)防注射

https://doi.org/10.1007/978-3-322-89278-2concurrent vector fields of the total space of the Kaehler submersion. In particular, we obtain characterization for an almost Yamabe soliton consisting of concurrent vector fields. Meanwhile, we give some results of such submersions when the total space is a Yamabe soliton which is a particular case of an almost Yamabe soliton.