Elie Joseph Cartan was an influential French mathematician, born on 9 April 1869 and died on 6 May 1951, who did fundamental work in the theory of Lie groups, in differential systems, a coordinate-free geometric formulation of partial differential equations, and in differential geometry. He also made significant contributions to general relativity and indirectly to quantum mechanics, and is widely regarded as one of the greatest mathematicians of the twentieth century. His son Henri Cartan was an influential mathematician working in algebraic topology.
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Élie Cartan
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Attributed Works
Source Maurer-Cartan Form (Wikipedia)
Conjectures Posed
Source Cartan-Hadamard conjecture (Wikipedia)
In Branch
Source Élie Cartan (Wikipedia)
Source Élie Cartan (Wikipedia)
Mentored By
Source Élie Cartan (Wikipedia)
Proofs Credited
Source Cartan-Dieudonne theorem (Wikipedia)
Source Cartan-Hadamard theorem, Wikipedia
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Source Élie Cartan (Wikipedia)Lead paragraph [nationality-culture]Quote, Lead paragraph [nationality-culture]
was an influential French mathematician
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1. Élie Cartan (Wikipedia)
Lead paragraph
He also made significant contributions to general relativity an
Lead paragraph [nationality-culture]
was an influential French mathematician
In Branch: Lie Theory, Lead paragraph [in-branch]
the theory of Lie groups
In Branch: Differential Geometry, Lead paragraph [in-branch 2]
differential geometry
- Mentored By: Sophus Lie, Infobox, doctoral advisor or academic advisors
View the SourceMaurer-Cartan Form (Wikipedia)
Attributed Works: Maurer-Cartan Form, Lead paragraphQuote, Attributed Works: Maurer-Cartan Form, Lead paragraph
In mathematics, the Maurer-Cartan form for a Lie group G is a distinguished differential one-form on G that carries the basic infinitesimal information about
Cartan-Dieudonne theorem (Wikipedia)
Proofs Credited: Cartan-Dieudonne Theorem, Lead paragraphQuote, Proofs Credited: Cartan-Dieudonne Theorem, Lead paragraph
In mathematics, the Cartan-Dieudonné theorem, named after Élie Cartan and Jean Dieudonné, establishes that every orthogonal transformation in an n-dimensional
Cartan-Hadamard theorem, Wikipedia
Proofs Credited: Cartan-Hadamard Theorem, Lead paragraphQuote, Proofs Credited: Cartan-Hadamard Theorem, Lead paragraph
In mathematics, the Cartan-Hadamard theorem is a statement in Riemannian geometry concerning the structure of complete Riemannian manifolds of non-positive
Cartan-Hadamard conjecture (Wikipedia)
Conjectures Posed: Cartan-Hadamard Conjecture, Lead sectionQuote, Conjectures Posed: Cartan-Hadamard Conjecture, Lead section
named after French mathematicians Élie Cartan and Jacques Hadamard
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