Results 221 to 230 of about 41,474 (267)
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Cayley–Klein geometries and projective-metric geometry
Journal of Geometry, 2022There is something profoundly unsatisfactory with the traditional algebraic definition of plane Cayley-Klein geometries, and this important paper ingeniously remedies those shortcomings for the first time. Following Felix Klein, the standard introduction of analytically described Cayley-Klein geometries proceeeds over the field of real numbers by the ...
Horst Struve, Rolf Struve
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2021
[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] Every time one sees |x-y|, one is looking at a specific metric acting on x and y, whatever they may happen to be, usually numbers or vectors. The notion of the distance between two objects is one of the most fundamental and ubiquitous in many branches of mathematics.
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[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] Every time one sees |x-y|, one is looking at a specific metric acting on x and y, whatever they may happen to be, usually numbers or vectors. The notion of the distance between two objects is one of the most fundamental and ubiquitous in many branches of mathematics.
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2020
In this chapter we shall consider some geometric issues related to the hyperbolic or quasihyperbolic metric. We begin with several comparison results for the quasihyperbolic metric. Here an important fact is that various metrics may be comparable in some but not in all domains.
Parisa Hariri +2 more
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In this chapter we shall consider some geometric issues related to the hyperbolic or quasihyperbolic metric. We begin with several comparison results for the quasihyperbolic metric. Here an important fact is that various metrics may be comparable in some but not in all domains.
Parisa Hariri +2 more
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Mathematics Magazine, 1950
You recall with what delight you first discovered that many geometrical and physical situations can be analyzed, and problems solved, by means of diflerential and integral calculus. Fortunately this pleasure of discovery can be continued, for many parts of more advanced mathematics and physics use the concepts of calculus as basic tools.
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You recall with what delight you first discovered that many geometrical and physical situations can be analyzed, and problems solved, by means of diflerential and integral calculus. Fortunately this pleasure of discovery can be continued, for many parts of more advanced mathematics and physics use the concepts of calculus as basic tools.
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Journal of Geometry, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Metric geometry of the Kobayashi metric
European Journal of Mathematics, 2017This is a survey article presenting some results related to the Kobayashi metric for domains in \(\mathbb C^n\). Among others, the authors discuss estimates of the Kobayashi metric near the boundary, extensions of the biholomorphic mappings to boundaries, convexity and complex geodesics, isometries of the Kobayashi metric, and Gromov hyperbolicity.
Gaussier, Hervé, Seshadri, Harish
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