Results 181 to 190 of about 1,254,431 (216)
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Reports on Mathematical Physics, 1984
Ein 1-Form Finslerraum ist ein Finslerraum, dessen metrische Grundfunktion die Form \(L(x,y)=L_{Mink}(\omega^ A)\) \((\omega^ A:=S^ A_ k(x)y^ k)\) hat, wobei \(L_{Mink}\) die Grundfunktion eines Minkowskischen Raumes bedeutet. Mit Hilfe der Vektorfelder \(S^ m_ B(x)\), wobei \(S^ m_ B\) zu \(S^ A_ k\) dual ist, wird ein spezieller oskulierender ...
Asanov, G. S., Kirnasov, E. G.
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Ein 1-Form Finslerraum ist ein Finslerraum, dessen metrische Grundfunktion die Form \(L(x,y)=L_{Mink}(\omega^ A)\) \((\omega^ A:=S^ A_ k(x)y^ k)\) hat, wobei \(L_{Mink}\) die Grundfunktion eines Minkowskischen Raumes bedeutet. Mit Hilfe der Vektorfelder \(S^ m_ B(x)\), wobei \(S^ m_ B\) zu \(S^ A_ k\) dual ist, wird ein spezieller oskulierender ...
Asanov, G. S., Kirnasov, E. G.
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1986
Perceptions of space and of motions in space have led mathematicians to describe a wide variety of formal geometrical structures. In this chapter we will introduce a few of these structures, beginning with the description of arc length and of various curvatures, and going on to topological spaces, sheaves, manifolds, and the like.
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Perceptions of space and of motions in space have led mathematicians to describe a wide variety of formal geometrical structures. In this chapter we will introduce a few of these structures, beginning with the description of arc length and of various curvatures, and going on to topological spaces, sheaves, manifolds, and the like.
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Space Forms of Grassmann Manifolds
Canadian Journal of Mathematics, 1963We shall consider the classification problem for space forms of (Riemannian manifolds which are covered by) real, complex, and quaternionic Grassmann manifolds. In the particular case of the real Grassmann manifold of oriented 1-dimensional subspaces of a real Euclidean space, this is the classical "spherical space form problem" of Clifford and Klein ...
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Bilipschitz Embeddings of Metric Spaces into Space Forms
Geometriae Dedicata, 2001A map \(f: X \rightarrow X\) from a metric space \((X,d)\) into another space \((X,d)\) is said to be a bilipschitz embedding if there is a constant \(\lambda\geq 1\) such that \(\lambda^{-1}d(x,y) \leq d(f(x),f(y))\leq\lambda d(x,y),\) for all \(x,y\in X.\) The paper describes some basic geometric tools to construct bilipschitz embeddings of metric ...
Lang, Urs, Plaut, Conrad
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Journal of Geometric Analysis, 2011
The author shows that the space of flat partial differential forms in a Banach space is isometric to the dual space of flat chains in the spirit of \textit{T. Adams} [J. Geom. Anal. 18, No. 1, 1--28 (2008; Zbl 1148.49037)]. This result can be regarded as a new version of the Wolfe's theorem [\textit{H. Whitney}, Geometric integration theory. Princeton,
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The author shows that the space of flat partial differential forms in a Banach space is isometric to the dual space of flat chains in the spirit of \textit{T. Adams} [J. Geom. Anal. 18, No. 1, 1--28 (2008; Zbl 1148.49037)]. This result can be regarded as a new version of the Wolfe's theorem [\textit{H. Whitney}, Geometric integration theory. Princeton,
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Acta Applicandae Mathematicae, 2006
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Toward green equity: An extensive study on urban form and green space equity for shrinking cities
Sustainable Cities and Society, 2023Jie Chen, Hongyu Li, Daer Su
exaly