- In mathematics,
hyperbolic geometry (also
called Lobachevskian geometry or Bolyai–
Lobachevskian geometry) is a non-Euclidean geometry. The
parallel postulate...
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known primarily for his work on
hyperbolic geometry,
otherwise known as
Lobachevskian geometry, and also for his
fundamental study on
Dirichlet integrals...
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hyperbolic geometry. Consequently,
hyperbolic geometry is
called Lobachevskian or Bolyai-
Lobachevskian geometry, as both mathematicians,
independent of each other...
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Savant stated that
because "the
chain of
proof is
based in
hyperbolic (
Lobachevskian) geometry", and
because squaring the
circle is seen as a "famous impossibility"...
-
theory Homotopy theory Hyperbolic geometry also
known as
Lobachevskian geometry or Bolyai-
Lobachevskian geometry. It is a non-Euclidean
geometry looking at...
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Wikisource Sommerfeld, Phys. Z 1909
Vladimir Varicak (1910)
Application of
Lobachevskian Geometry in the
Theory of
Relativity Physikalische Zeitschrift via Wikisource...
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Smogorzhevsky develops several theorems of
inversive geometry before beginning Lobachevskian geometry. In a real n-dimensional
Euclidean space, an
inversion in the...
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isometric to: the
sphere if K > 0; the
Euclidean plane if K = 0; the
Lobachevskian plane if K < 0.
Liouville field theory, a two-dimensional conformal...
- numbers. The
corresponding geometries are in non-trivial
relations to
Lobachevskian geometry. The
group SL(2, R) acts on its Lie
algebra sl(2, R) by conjugation...
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imaginary time coordinate, and
wrote in
explicitly non-Euclidean (i.e.
Lobachevskian) form
reformulating relativity using the
concept of
rapidity previously...
