Modelle des Kosmos: Der gekruemmte Raum

Modelle des Kosmos: Der gekruemmte Raum

Module: Modelle des Kosmos: Der gekruemmte Raum
Sequence: 0.0. START
Branching Point: Curved Spaces
Sequence: 0.1 Themenuebersicht
Branching Point: Curved Spaces (Overview of Topics)
Sequence: 1.0. 13400_Objektfolge_Only
Slide: Euclidean Surface
Slide: Elliptic Surface
Slide: Hyperbolic Surface
Slide: Curvature of the Universe
Slide: Einstein Manuscript Page
Slide: Geometry and Experience
Sequence: 1.1. Objekt 13400_1834_1: Euklidische Flaeche
Slide: Euclidean Surface
Sequence: 1.2. Objekt 13400_1834_2: Elliptische Flaeche
Slide: Elliptic Surface
Sequence: 1.3. Objekt 13400_1834_3: Hyperbolische Flaeche
Slide: Hyperbolic Surface
Sequence: 1.4. Objekt 13400_3220: Schwarzschild_Artikel_1900
Slide: Curvature of the Universe
Sequence: 1.5. Objekt 13400_1752: Einstein Manuskriptseite
Slide: Einstein Manuscript Page
Sequence: 1.6. Objekt 13400_1727: Geometrie und Erfahrung
Slide: Geometry and Experience
Sequence: 2.0. Animated explanation
Slide: The Appearence of Background Radiation Depends on the Curvature of Space
Sequence: 3.0. Biographie: Carl Friedrich Gauss
Slide: Carl Friedrich Gauss (1777–1855)
Sequence: 4.0. Biographie: Bernhard Riemann
Slide: Bernhard Riemann (1826–1866)
Sequence: 5.0. Biographie: Karl Schwarzschild
Slide: Karl Schwarzschild (1873–1916)
Slide: Curved Universes Before Einstein: Schwarzschild's Cosmological Speculations
Slide: Euclidean Surface
Slide: Elliptic Surface
Slide: Hyperbolic Surface
Slide: Curvature of the Universe
Sequence: 3.0. Biographie: Carl Friedrich Gauss
Slide: Carl Friedrich Gauss (1777–1855)
Sequence: 1.0. 13400_Objektfolge_Only
Slide: Euclidean Surface
Slide: Elliptic Surface
Slide: Hyperbolic Surface
Slide: Curvature of the Universe
Slide: Einstein Manuscript Page
Slide: Geometry and Experience
Sequence: 4.0. Biographie: Bernhard Riemann
Slide: Bernhard Riemann (1826–1866)
Sequence: 2.0. Animated explanation
Slide: The Appearence of Background Radiation Depends on the Curvature of Space
Sequence: 5.0. Biographie: Karl Schwarzschild
Slide: Karl Schwarzschild (1873–1916)
Slide: Curved Universes Before Einstein: Schwarzschild's Cosmological Speculations
Slide: Euclidean Surface
Slide: Elliptic Surface
Slide: Hyperbolic Surface
Slide: Curvature of the Universe
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Hyperbolic Surface
Illustration of curved spaces by means of two-dimensional models

A hyperbolically curved surface can be conceived of as a two-dimensional model of three-dimensional hyperbolic spaces. In hyperbolic spaces the sum of the angles in a triangle is less than 180 degrees. The circumference of a growing circle increases more quickly than its radius.

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