Marcel Berger
Encyclopedia
Marcel Berger is a French
mathematician
, doyen of French differential geometry, and a former director of the Institut des Hautes Études Scientifiques
(IHES), France. Currently residing in Le Castera in Lasseube, France
, Berger was instrumental in Mikhail Gromov's accepting positions both at the University of Paris
and at the IHES.
French people
The French are a nation that share a common French culture and speak the French language as a mother tongue. Historically, the French population are descended from peoples of Celtic, Latin and Germanic origin, and are today a mixture of several ethnic groups...
mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
, doyen of French differential geometry, and a former director of the Institut des Hautes Études Scientifiques
Institut des Hautes Études Scientifiques
The Institut des Hautes Études Scientifiques is a French institute supporting advanced research in mathematics and theoretical physics...
(IHES), France. Currently residing in Le Castera in Lasseube, France
Lasseube
Lasseube is a commune in the Pyrénées-Atlantiques department in south-western France.-References:*...
, Berger was instrumental in Mikhail Gromov's accepting positions both at the University of Paris
University of Paris
The University of Paris was a university located in Paris, France and one of the earliest to be established in Europe. It was founded in the mid 12th century, and officially recognized as a university probably between 1160 and 1250...
and at the IHES.
Selected publications
- Berger, M.: Geometry revealed. Springer, 2010.
- Berger, M.: What is... a Systole? Notices of the AMS 55 (2008), no. 3, 374–376.
- Berger, Marcel; Gauduchon, Paul; Mazet, Edmond: Le spectre d'une variété riemannienne. (French) Lecture Notes in Mathematics, Vol. 194 Springer-Verlag, Berlin-New York 1971.
- Berger, Marcel: Sur les groupes d'holonomie homogène des variétés à connexion affine et des variétés riemanniennes. (French) Bull. Soc. Math. France 83 (1955), 279–330.
- Berger, Marcel: Les espaces symétriques noncompacts. (French) Ann. Sci. École Norm. Sup. (3) 74 1957 85–177.
- Berger, Marcel; Gostiaux, Bernard: Differential geometry: manifolds, curves, and surfaces. Translated from the French by Silvio Levy. Graduate Texts in Mathematics, 115. Springer-Verlag, New York, 1988. xii+474 pp. ISBN 0-387-96626-9 53-01
- Berger, Marcel: Geometry. II. Translated from the French by M. Cole and S. Levy. Universitext. Springer-Verlag, Berlin, 1987.
- Berger, M.: Les variétés riemanniennes homogènes normales simplement connexes à courbure strictement positive. (French) Ann. Scuola Norm. Sup. Pisa (3) 15 1961 179–246.
- Berger, Marcel: Geometry. I. Translated from the French by M. Cole and S. Levy. Universitext. Springer-Verlag, Berlin, 1987. xiv+428 pp. ISBN 3-540-11658-3
- Berger, Marcel: Systoles et applications selon Gromov. (French) [Systoles and their applications according to Gromov] Séminaire Bourbaki, Vol. 1992/93. Astérisque No. 216 (1993), Exp. No. 771, 5, 279–310.
- Berger, Marcel: Geometry. I. Translated from the 1977 French original by M. Cole and S. Levy. Corrected reprint of the 1987 translation. Universitext. Springer-Verlag, Berlin, 1994. xiv+427 pp. ISBN 3-540-11658-3
- Berger, Marcel: Riemannian geometry during the second half of the twentieth century. Reprint of the 1998 original. University Lecture Series, 17. American Mathematical Society, Providence, Rhode Island, 2000. x+182 pp. ISBN 0-8218-2052-4
- Berger, Marcel: A panoramic view of Riemannian geometry. Springer-Verlag, Berlin, 2003. xxiv+824 pp. ISBN 3-540-65317-1
See also
- Arthur BesseArthur BesseArthur Besse is a pseudonym chosen by a group of French differential geometers, led by Marcel Berger, following the model of Nicolas Bourbaki. A number of monographs have appeared under the name.-Bibliography:...
- Berger's inequality for Einstein manifoldsBerger's inequality for Einstein manifoldsIn mathematics — specifically, in differential topology — Berger's inequality for Einstein manifolds is the statement that any 4-dimensional Einstein manifold has non-negative Euler characteristic χ ≥ 0. The inequality is named after the French mathematician Marcel...
- Berger–Kazdan comparison theorem
- Systolic geometry
External links
- http://www.academie-sciences.fr/membres/B/Berger_Marcel_bio.htm