Operator means of probability measures and generalized Karcher equations

A Comprehensive Introduction to Differential Geometry.

Arthur D. Kramer, Michael Spivak · American Mathematical Monthly · 1973 · 3.6K citations

Natural Sciences, Mathematics, Computational Geometry +13

Riemannian center of mass and mollifier smoothing

Hermann Karcher · Communications on Pure and Applied Mathematics · 1977 · 1K citations

Natural Sciences, Physics, Gravity +8

Means of positive linear operators

Fumio Kubo, Tsuyoshi Andô · Mathematische Annalen · 1980 · 905 citations

Natural Sciences, Architectural Representation, Probability Theory +6

Geometric Means in a Novel Vector Space Structure on Symmetric Positive‐Definite Matrices

Vincent Arsigny, Pierre Fillard, Xavier Pennec et al. · SIAM Journal on Matrix Analysis and Applications · 2007 · 814 citations

Natural Sciences, Mathematics, Physics +16

A Differential Geometric Approach to the Geometric Mean of Symmetric Positive-Definite Matrices

Maher Moakher · SIAM Journal on Matrix Analysis and Applications · 2005 · 705 citations

Natural Sciences, Mathematics, Computational Geometry +7