Results 231 to 240 of about 113,691 (269)
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Journal of Soviet Mathematics, 1983
This paper is devoted to investigations on the geometry of multidimensional nets, connected with the thoery of distributions on smooth manifolds, and to the survey of some other papers on multidimensional nets, reviewed in RZh “Matematika” from 1964 to the present time.
Bazylev, V. T. +2 more
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This paper is devoted to investigations on the geometry of multidimensional nets, connected with the thoery of distributions on smooth manifolds, and to the survey of some other papers on multidimensional nets, reviewed in RZh “Matematika” from 1964 to the present time.
Bazylev, V. T. +2 more
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Manifolds and Forms on Manifolds
2018In this chapter we reintroduce manifolds in a somewhat more mathematically rigorous manor while simultaneously trying not to overwhelm you with details. As always we will still place an emphasis on conceptual understanding and the big picture. Manifold theory is a vast and rich subject and there are numerous books that present manifolds in a completely
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The Manifolds Covered by a Riemannian Homogeneous Manifold
American Journal of Mathematics, 1960Introduction. The sphere is known to be the universal covering for complete connected Riemannian manifolds of constant positive curvature. More precisely, if M is an n-dimensional complete connected Riemannian manifold of constant sectional curvature k2 > 0 with k > 0, and if Sn is the sphere of radius k-1 in Euclidean space RI'+', with the induced ...
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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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ON THE COMPACTNESS OF MANIFOLDS
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2003It is believed that the family of Riemannian manifolds with negative curvatures is much richer than that with positive curvatures. In fact there are many results on the obstruction of furnishing a manifold with a Riemannian metric whose curvature is positive.
Li, Xue-Mei, Wang, Feng-Yu
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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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