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Edmond Bonan (born 27 January 1937 in
Edmond Bonan (born 27 January 1937 in Haifa
Haifa ( ; , ; ) is the List of cities in Israel, third-largest city in Israel—after Jerusalem and Tel Aviv—with a population of in . The city of Haifa forms part of the Haifa metropolitan area, the third-most populous metropolitan area i ...
, Mandatory Palestine
Mandatory Palestine was a British Empire, British geopolitical entity that existed between 1920 and 1948 in the Palestine (region), region of Palestine, and after 1922, under the terms of the League of Nations's Mandate for Palestine.
After ...
) is a French
French may refer to:
* Something of, from, or related to France
** French language, which originated in France
** French people, a nation and ethnic group
** French cuisine, cooking traditions and practices
Arts and media
* The French (band), ...
mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
, known particularly for his work on special holonomy.
Although not a single example
of G2 manifold or Spin(7) manifold had been discovered until thirty years later, Edmond Bonan nonetheless made a useful contribution by showing in 1966, that such manifolds would carry at least a parallel 4-form, and would necessarily be Ricci-flat,
propelling them as candidates for string theory
In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called strings. String theory describes how these strings propagate through space and intera ...
.
Biography
After completing his undergraduate studies at theÉcole polytechnique
(, ; also known as Polytechnique or l'X ) is a ''grande école'' located in Palaiseau, France. It specializes in science and engineering and is a founding member of the Polytechnic Institute of Paris.
The school was founded in 1794 by mat ...
, Bonan went on to write his 1967 University of Paris
Paris () is the Capital city, capital and List of communes in France with over 20,000 inhabitants, largest city of France. With an estimated population of 2,048,472 residents in January 2025 in an area of more than , Paris is the List of ci ...
doctoral dissertation in Differential geometry
Differential geometry is a Mathematics, mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It uses the techniques of Calculus, single variable calculus, vector calculus, lin ...
under the supervision of André Lichnerowicz
André Lichnerowicz (; January 21, 1915, Bourbon-l'Archambault – December 11, 1998, Paris) was a French differential geometer and mathematical physicist. He is considered the founder of modern Poisson geometry.
Biography
His grandfather Jan f ...
. From 1968 to 1997, he held the post of lecturer and then professor at the University of Picardie Jules Verne
Jules Gabriel Verne (;''Longman Pronunciation Dictionary''. ; 8 February 1828 – 24 March 1905) was a French novelist, poet and playwright.
His collaboration with the publisher Pierre-Jules Hetzel led to the creation of the ''Voyages extraor ...
in Amiens
Amiens (English: or ; ; , or ) is a city and Communes of France, commune in northern France, located north of Paris and south-west of Lille. It is the capital of the Somme (department), Somme Departments of France, department in the region ...
, where he currently holds the title of professor emeritus. Early in his career, from 1969 to 1981, he also lectured at the École Polytechnique
(, ; also known as Polytechnique or l'X ) is a ''grande école'' located in Palaiseau, France. It specializes in science and engineering and is a founding member of the Polytechnic Institute of Paris.
The school was founded in 1794 by mat ...
.
See also
* G2 manifold * G2 structure * Spin(7) manifold *Holonomy
In differential geometry, the holonomy of a connection on a smooth manifold is the extent to which parallel transport around closed loops fails to preserve the geometrical data being transported. Holonomy is a general geometrical consequence ...
*Quaternion-Kähler manifold In differential geometry, a quaternion-Kähler manifold (or quaternionic Kähler manifold) is a Riemannian 4''n''-manifold whose Riemannian holonomy group is a subgroup of Sp(''n'')·Sp(1) for some n\geq 2. Here Sp(''n'') is the sub-group of SO(4n) ...
* Calibrated geometry
*Hypercomplex manifold
In differential geometry, a hypercomplex manifold is a manifold with the tangent bundle
equipped with an action by the algebra of quaternions
in such a way that the quaternions I, J, K
define integrable almost complex structures.
If the almost c ...
*Hyperkähler manifold In differential geometry, a hyperkähler manifold is a Riemannian manifold (M, g) endowed with three integrable almost complex structures I, J, K that are Kähler with respect to the Riemannian metric g and satisfy the quaternionic relations I^2= ...
*Uniform polyhedron
In geometry, a uniform polyhedron has regular polygons as Face (geometry), faces and is vertex-transitive—there is an isometry mapping any vertex onto any other. It follows that all vertices are congruence (geometry), congruent. Uniform po ...
References