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AI driven dual constraint cooptimization of affective semantics and engineering parameters for biomimetic product design. [PDF]

Sci Rep
Wang Y, He J, Yang M, Hao Z, Kim KS.
europepmc   +1 more source

Doubly warped product and the periodicity of geodesics

, 1994
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Riemannian Warped Product Maps

Results in Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hemangi Shāh, Bayram Şahin, Kiran Meena   +2 more
exaly   +2 more sources

On warped product immersions

Journal of Geometry, 2005
In this paper the author studies some geometric properties of warped product immersions proving some geometric inequalities.
Bang-Yen Chen, Chen Bang-Yen
exaly   +3 more sources

Riemannian Warped Product Submersions

Results in Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
İrem Küpeli Erken, Cengizhan Murathan
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A note on warped products

Journal of Mathematical Analysis and Applications, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Josué Meléndez, Mario Hernández
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A curvature condition for a twisted product¶to be a warped product

manuscripta mathematica, 2001
Given two pseudo-Riemannian manifolds \((B, g_B)\) and \((F, g_F)\), the product \(M = B\times F\) can be equipped with a metric \(g_M = f^2g_B \oplus b^2g_F\), where \(f, b:M\to\mathbb R\). Then, \((M, g_M)\) is called a double twisted product. If \(f = 1\), \((M, g_M)\) is just a twisted product.
Fernández-López, M., García-Río, E., Kupeli, D. N., Ünal, B.   +3 more
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Hypersurfaces in Warped Products

2016
A classical result of Alexandrov [10] states that a compact hypersurface with constant mean curvature embedded in Euclidean space must be a round sphere. The original proof is based on a clever use of the maximum principle for elliptic partial differential equations.
Luis J. Alías, Paolo Mastrolia, Marco Rigoli   +2 more
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Warped products with special Riemannian curvature

Boletim da Sociedade Brasileira de Matem�tica, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bertola, M., Gouthier, D.
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Multiply warped products

Journal of Geometry and Physics, 2000
The author first states covariant derivative formulas for multiply warped products and considers the geodesic equations for these spaces. Then he states some basic facts about causality of Lorentzian multiply products and studies Cauchy surfaces and global hyperbolicity.
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