Electronic Research Announcements in Mathematical Sciences (ERA-MS)

Curvature bounded below: A definition a la Berg--Nikolaev

Pages: 122 - 124, January 2010      doi:10.3934/era.2010.17.122

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Nina Lebedeva - St. Petersburg Department of V.A. Steklov Mathematical Institute, Fontanka 27, 191023, St. Petersburg, Russian Federation (email)
Anton Petrunin - Department of Mathematics, Penn State University, University Park, PA 16802, United States (email)

Abstract: We give a new characterization of spaces with nonnegative curvature in the sense of Alexandrov.

Keywords:  Alexandrov space, curvature.
Mathematics Subject Classification:  Primary: 51K10; Secondary: 53C45.

Received: August 2010;      Revised: September 2010;      Available Online: October 2010.