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Geometriae Dedicata, 2006
An open \(n\)-manifold \(X\) is called hyper-Euclidian if it admits a proper \(1\)-Lipschitz map \(p:X\to {\mathbb{R}}^n\) of degree one. The author shows that the universal cover of an aspherical manifold whose fundamental group has finite asymptotic dimension in the sense of Gromov is hyper-Euclidean after crossing with some Euclidean space.
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An open \(n\)-manifold \(X\) is called hyper-Euclidian if it admits a proper \(1\)-Lipschitz map \(p:X\to {\mathbb{R}}^n\) of degree one. The author shows that the universal cover of an aspherical manifold whose fundamental group has finite asymptotic dimension in the sense of Gromov is hyper-Euclidean after crossing with some Euclidean space.
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Weyl manifolds and Einstein-Weyl manifolds
Commentarii mathematici Universitatis Sancti Pauli = Rikkyo Daigaku sugaku zasshi, 1993The author sets out to clarify the true character of some fundamental invariants in Weyl geometry and then constructs some types of Einstein- Weyl manifolds. A Weyl structure \(W\) on a manifold \(M\) consists of a Riemannian metric \(g\) and a 1-form \(\phi\) on \(M\).
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2006
Manifold parameterization considers the problem of parameterizing a given triangular mesh onto another mesh surface, which could be particularly plane or sphere surfaces. In this paper we propose a unified framework for manifold parameterization between arbitrary meshes with identical genus.
Lei Zhang 0021 +3 more
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Manifold parameterization considers the problem of parameterizing a given triangular mesh onto another mesh surface, which could be particularly plane or sphere surfaces. In this paper we propose a unified framework for manifold parameterization between arbitrary meshes with identical genus.
Lei Zhang 0021 +3 more
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Journal of Mathematical Physics, 1984
The concept of a probability manifold M is introduced. The global properties of M inherited from its local structure are then considered. It is shown that a deterministic spin model due to Pitowski falls within this general framework. Finally, we construct a phase-space model for nonrelativistic quantum mechanics.
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The concept of a probability manifold M is introduced. The global properties of M inherited from its local structure are then considered. It is shown that a deterministic spin model due to Pitowski falls within this general framework. Finally, we construct a phase-space model for nonrelativistic quantum mechanics.
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Canadian Journal of Mathematics, 1960
In (3) R. Lashof and S. Smale proved among other things the following theorem. If the compact oriented manifold M is immersed into the oriented manifold M', with dim M' ≥ dim M + 2, then the normal degree of the immersion is equal to the Euler-Poincaré characteristic x of M reduced module the characteristic x’ of M'.
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In (3) R. Lashof and S. Smale proved among other things the following theorem. If the compact oriented manifold M is immersed into the oriented manifold M', with dim M' ≥ dim M + 2, then the normal degree of the immersion is equal to the Euler-Poincaré characteristic x of M reduced module the characteristic x’ of M'.
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Inertial manifolds and slow manifolds
1997Our aim in this article is to present some receent results on the mathematical theory of Inertial Manifolds and Slow Manifolds.
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Study on the flow and heat transfer characteristics of pin-fin manifold microchannel heat sink
International Journal of Heat and Mass Transfer, 2022Rui Zhao
exaly
A Brief Introduction to Manifold Optimization
Journal of the Operations Research Society of China, 2020Xin Liu, Zaiwen Wen, Ya-Xiang Yuan
exaly