- surface of negative curvature
- мат. поверхность отрицательной кривизны
English-Russian scientific dictionary. 2008.
surface of negative curvature
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Gaussian curvature — In differential geometry, the Gaussian curvature or Gauss curvature of a point on a surface is the product of the principal curvatures, κ 1 and κ 2, of the given point. It is an intrinsic measure of curvature, i.e., its value depends only on how… … Wikipedia
Curvature — In mathematics, curvature refers to any of a number of loosely related concepts in different areas of geometry. Intuitively, curvature is the amount by which a geometric object deviates from being flat, or straight in the case of a line, but this … Wikipedia
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Nadirashvili surface — In differential geometry, a Nadirashvili surface is an immersed complete bounded minimal surface in R3 with negative curvature. The first example of such a surface was constructed by Nadirashvili (1996). This simultaneously answered a question of … Wikipedia
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Principal curvature — Saddle surface with normal planes in directions of principal curvatures In differential geometry, the two principal curvatures at a given point of a surface are the eigenvalues of the shape operator at the point. They measure how the surface… … Wikipedia
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Constant curvature — See also: Space form In mathematics, constant curvature in differential geometry is a concept most commonly applied to surfaces. For those the scalar curvature is a single number determining the local geometry, and its constancy has the obvious… … Wikipedia
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Membrane curvature — is the geometrical measure or characterization of the curvature of membranes. The membranes can be naturally occurring or man made (synthetic). An example of naturally occurring membrane is the lipid bilayer of cells, also known as cellular… … Wikipedia
