Metric Structures for Riemannian and Non-Riemannian Spaces
Encyclopedia
Metric Structures for Riemannian and Non-Riemannian Spaces is a book in geometry
by Mikhail Gromov. It was originally published in French in 1981 under the title Structures métriques pour les variétés riemanniennes, by CEDIC (Paris). The 1981 edition was edited by Jacques Lafontaine and Pierre Pansu. The English version, considerably expanded, was published in 1999 by Birkhäuser Verlag
, with appendices by Pierre Pansu, Stephen Semmes
, and Mikhail Katz
. The book was well-received and has been reprinted several times.
Geometry
Geometry arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers ....
by Mikhail Gromov. It was originally published in French in 1981 under the title Structures métriques pour les variétés riemanniennes, by CEDIC (Paris). The 1981 edition was edited by Jacques Lafontaine and Pierre Pansu. The English version, considerably expanded, was published in 1999 by Birkhäuser Verlag
Birkhäuser Verlag
Birkhäuser Verlag is the leading European publisher for architecture, landscaping and design. Since 2010 it is part of the ActarBirkhäuser Group.-Scientific publishing:Founded in 1879 by Emil Birkhäuser the publishers program focused on regional literature...
, with appendices by Pierre Pansu, Stephen Semmes
Stephen Semmes
Stephen Semmes is Noah Harding Professor of Mathematics at Rice University. He is known for contributions to analysis on metric spaces, as well as harmonic analysis, complex variables, partial differential equations, and differential geometry.-Awards:...
, and Mikhail Katz
Mikhail Katz
Mikhail Katz is an Israeli mathematician, a professor of mathematics at Bar Ilan University. His main interests are differential geometry and geometric topology; he is the author of a book about systolic geometry....
. The book was well-received and has been reprinted several times.