Vladimir Varićak ou Vladimir Varičak (1er mars 1865 à Švica, Croatie - 17 janvier 1942 (à 76 ans) à Zagreb, Croatie) est un mathématicien et un physicien théorique croate. Il est surtout connu pour son application de la géométrie hyperbolique à la relativité restreinte.

PropertyValue
dbpedia-owl:abstract
  • Vladimir Varićak ou Vladimir Varičak (1er mars 1865 à Švica, Croatie - 17 janvier 1942 (à 76 ans) à Zagreb, Croatie) est un mathématicien et un physicien théorique croate. Il est surtout connu pour son application de la géométrie hyperbolique à la relativité restreinte.
  • Vladimir Varićak (sometimes also spelled Vladimir Varičak; March 1, 1865 – January 17, 1942) was a Croatian mathematician and theoretical physicist of Serbian descent.Varićak was born in the village of Švica near Otočac, Austrian Empire (present-day Croatia). He studied physics and mathematics at the University of Zagreb from 1883 to 1887. He made his PhD in 1889 and got his habilitation in 1895. In 1899 he became professor of mathematics in Zagreb, where he gave lectures until his death in 1942.From 1903 to 1908 he wrote on hyperbolic geometry (or Lobachevsky- Bolyai geometry). In 1910, following a 1909 publication of Sommerfeld, he applied hyperbolic geometry to the special theory of relativity. Sommerfeld, using the imaginary form of Minkowski space, had shown in his 1909 paper that the Einstein formula for combination of velocities is most clearly understandable as a formula for triangular addition on the surface of a sphere of imaginary radius. Varićak reinterpreted this result as showing that rapidity combines by the triangle rule in hyperbolic space. This is a fundamental result for the hyperbolic theory which was demonstrated later by other approaches by Robb (1911) and Borel (1913). The 1910 papers also dealt with several applications of the hyperbolic theory to optics. In 1911 Varićak was invited to speak to the Deutsche Mathematiker-Vereinigung in Karlsruhe on his work. He continued to develop the hyperbolic reinterpretation of Einstein's theory collecting his results in 1924 in a textbook, Relativity in Three Dimensional Lobachevski Space, now available in English. In the period 1909 to 1913 Varićak had correspondence with Albert Einstein concerning rotation and length contraction where Varićak's interpretations differed from those of Einstein. Concerning length contraction Varićak said that in Einstein's interpretation the contraction is only an "apparent" or a "psychological" phenomenon due to the convention of clock measurements whereas in the Lorentz theory it was an objective phenomenon.Walter (1999) re-examined Minkowski's non-Euclidean geometry. He begins by analysis of "the tip of a four-dimensional velocity vector" and notes Minkowski's equations where "both hypersurfaces provide a basis for a well-known model of non-Euclidean space of constant negative curvature, popularized by Helmholtz." In fact it is known as the hyperboloid model of hyperbolic geometry.Walter goes on to say: More than any other mathematician, Varićak devoted himself to the development of the non-euclidean style [of relativity], unfolding Minkowski's image of velocity-vector relations in hyperbolic space, and recapitulating a variety of results in terms of hyperbolic functions. The use of hyperbolic trigonometry was shown by Varićak to entail significant notational advantages. For example, he relayed the interpretation put forth by Hergloz and Klein of the Lorentz transformation as a displacement in hyperbolic space, and indicated simple expressions for proper time and the aberration of light in terms of a hyperbolic argument.Varićak is also known as a high school teacher of Milutin Milanković, and as a university instructor of Duro Kurepa. Varićak made scholarly contributions on the life and work of Ruđer Bošković (1711–1787) These are listed in the biography of Kurepa (1965) cited below.Of special interest for the history of relativity is that Varićak also edited and published a little-known 1755 paper of Boscovich in Latin entitled On absolute motion - if it is possible to distinguish it from relative motion ("Of Space and Time"). Varićak said that the paper "contains many remarkably clear and radical ideas regarding the relativity of space, time and motion." (Quoted from Silberstein: Theory of Relativity, 1912, footnote p. 38) He was a member of the Yugoslav Academy of Sciences and Arts, the Czech Academy of Sciences, the Serbian Academy of Sciences and Arts, the Croatian Society for Natural Science, and the Yugoslav Mathematical Society.
  • Vladimir Varićak (auch Varičak, * 1. März 1865 in Švica; † 17. Januar 1942) war ein jugoslawischer Mathematiker und Physiker, der vor allem für seine Beiträge zur nichteuklidischen Geometrie und der Speziellen Relativitätstheorie bekannt wurde.
dbpedia-owl:wikiPageExternalLink
dbpedia-owl:wikiPageID
  • 5968739 (xsd:integer)
dbpedia-owl:wikiPageLength
  • 11836 (xsd:integer)
dbpedia-owl:wikiPageOutDegree
  • 49 (xsd:integer)
dbpedia-owl:wikiPageRevisionID
  • 106453474 (xsd:integer)
dbpedia-owl:wikiPageWikiLink
prop-fr:année
  • 1903 (xsd:integer)
  • 1908 (xsd:integer)
  • 1910 (xsd:integer)
  • 1911 (xsd:integer)
  • 1912 (xsd:integer)
  • 1914 (xsd:integer)
  • 1915 (xsd:integer)
  • 1924 (xsd:integer)
  • 1936 (xsd:integer)
  • 1965 (xsd:integer)
prop-fr:commentaire
  • Article sur le paradoxe d'Ehrenfest
prop-fr:langue
  • de
  • en
prop-fr:lienPériodique
  • Physikalische Zeitschrift
prop-fr:lieu
  • Zagreb
prop-fr:lireEnLigne
prop-fr:nom
  • Kurepa
prop-fr:numéro
  • 2 (xsd:integer)
  • 3 (xsd:integer)
  • 4 (xsd:integer)
  • 137 (xsd:integer)
prop-fr:passage
  • 46 (xsd:integer)
  • 61 (xsd:integer)
  • 70 (xsd:integer)
  • 87 (xsd:integer)
  • 93 (xsd:integer)
  • 101 (xsd:integer)
  • 103 (xsd:integer)
  • 165 (xsd:integer)
  • 169 (xsd:integer)
  • 211 (xsd:integer)
  • 213 (xsd:integer)
  • 287 (xsd:integer)
  • 586 (xsd:integer)
  • 707 (xsd:integer)
prop-fr:prénom
  • D.
prop-fr:périodique
  • Nature
  • Physikalische Zeitschrift
  • Jahresbericht der Deutschen Mathematiker-Vereinigung
  • Bull. Acad. Zagreb
  • Informations scientifiques, Univ.Belgrade
  • Proc. Serb. Acad.
  • Proceedings of the International Congress of Mathematicians
prop-fr:revue
  • Physikalische Zeitschrift
prop-fr:titre
  • Zum Ehrenfestschen Paradoxon
  • Anwendung der Lobatschefskijschen Geometrie in die Relativtheorie
  • Die Relativtheorie und die Lobatschefskijsche Geometrie
  • Beiträge zur nichteuklidischen Geometrie
  • Bemerkungen zur Relativtheorie
  • Die Reflexion des Lichtes an bewegten Spiegeln
  • Eine Bemerkung zum Dopplerschen Effekt
  • Die Interpretation der Relativtheorie in der Lobatschevkijschen Geometrie
  • Relativity theory and the Universe
  • Zur nichteuklidischen analytischen Geometrie
  • Über die Transformation des elektromagnetischen Feldes in der Relativtheorie
  • Über die nichteuklidische Interpretation der Relativtheorie
  • Beitrag zur nichteuklidischen Interpretation der Relativtheorie
  • First centenary of the birth of mathematician Vladimir Varićak
  • Bemerkung zu einem Punkte in der Festrede L. Schlesingers über Johann Bolyai
  • Darstellung der Relativitatstheorie im drei dimensionalen Lobatschefskijschen Raume
prop-fr:volume
  • 11 (xsd:integer)
  • 12 (xsd:integer)
  • 17 (xsd:integer)
  • 21 (xsd:integer)
  • 93 (xsd:integer)
  • II, SS.
prop-fr:wikiPageUsesTemplate
prop-fr:éditeur
  • Narodni Novini
dcterms:subject
rdfs:comment
  • Vladimir Varićak ou Vladimir Varičak (1er mars 1865 à Švica, Croatie - 17 janvier 1942 (à 76 ans) à Zagreb, Croatie) est un mathématicien et un physicien théorique croate. Il est surtout connu pour son application de la géométrie hyperbolique à la relativité restreinte.
  • Vladimir Varićak (auch Varičak, * 1. März 1865 in Švica; † 17. Januar 1942) war ein jugoslawischer Mathematiker und Physiker, der vor allem für seine Beiträge zur nichteuklidischen Geometrie und der Speziellen Relativitätstheorie bekannt wurde.
  • Vladimir Varićak (sometimes also spelled Vladimir Varičak; March 1, 1865 – January 17, 1942) was a Croatian mathematician and theoretical physicist of Serbian descent.Varićak was born in the village of Švica near Otočac, Austrian Empire (present-day Croatia). He studied physics and mathematics at the University of Zagreb from 1883 to 1887. He made his PhD in 1889 and got his habilitation in 1895.
rdfs:label
  • Vladimir Varićak
  • Vladimir Varićak
  • Vladimir Varićak
owl:sameAs
http://www.w3.org/ns/prov#wasDerivedFrom
foaf:isPrimaryTopicOf
is dbpedia-owl:wikiPageWikiLink of
is foaf:primaryTopic of