Results 51 to 60 of about 52,374 (273)
Finsler Warped Product Metrics with Special Curvature Properties
The class of warped product metrics can often be interpreted as key space models for the general theory of relativity and theory of space–time. In this paper, we study several non-Riemannian quantities in Finsler geometry. These non-Riemannian quantities
Lingen Sun, Xiaoling Zhang, Mengke Wu
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Warping functions of some warped products
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This study explores the lightweight potential of laser additive‐manufactured NiTi triply periodic minimal surface sheet lattices. It systematically investigates the effects of relative density and unit cell size on surface quality, deformation recovery, compression behavior, and energy absorption.
Haoming Mo +3 more
wiley +1 more source
On the stability of minimal cones in warped products
In a seminal paper published in $1968$, J. Simons proved that, for $n\leq 5$, the Euclidean (minimal) cone $CM$, built on a closed, oriented, minimal and non totally geodesic hypersurface $M^n$ of $\mathbb S^{n+1}$ is unstable.
Bezerra, K. S., Caminha, A., Lima, B. P.
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Additive manufacturing provides precise control over the placement of continuous fibres within polymer matrices, enabling customised mechanical performance in composite components. This article explores processing strategies, mechanical testing, and modelling approaches for additive manufactured continuous fibre‐reinforced composites.
Cherian Thomas, Amir Hosein Sakhaei
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Some Results on Warped Product Submanifolds of a Sasakian Manifold
We study warped product Pseudo-slant submanifolds of Sasakian manifolds. We prove a theorem for the existence of warped product submanifolds of a Sasakian manifold in terms of the canonical structure 𝐹.
Siraj Uddin, V. A. Khan, Huzoor H. Khan
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Sequential Warped Products: Curvature and Killing Vector Fields
In this note, we introduce a new type of warped products called as sequential warped products to cover a wider variety of exact solutions to Einstein's equation. First, we study the geometry of sequential warped products and obtain covariant derivatives,
De, Uday Chand +2 more
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Quasi‐Static to Supersonic Energy Absorption of Nanoarchitected Tubulanes and Schwarzites
Nanoarchitected energy‐absorptive Tubulanes exhibit record energy absorption under quasi‐static conditions and exceptional inelastic energy dissipation under 750 m s−1 ballistics impact, with high performance spanning strain rates of 12 orders of magnitude.
Peter Serles +16 more
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A mean curvature estimate for cylindrically bounded submanifolds
We extend the estimate obtained in [1] for the mean curvature of a cylindrically bounded proper submanifold in a product manifold with an Euclidean space as one factor to a general product ambient space endowed with a warped product ...
Alias, Luis J., Dajczer, Marcos
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The author assumes a product manifold \(M= E\times F\) to be equipped with a warped product metric. Therefrom arises by adding a mixed 2-form such that \(E\), \(F\) are no longer orthogonal an oblique warped product metric. The author discusses the existence of such a structure and gives examples: generalized Robertson-Walker space-times and more ...
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