X-Nico

unusual facts about differential geometry



Wilhelm Klingenberg

Wilhelm Paul Albert Klingenberg (28 January 1924 Rostock, Mecklenburg, Germany – 14 October 2010 Röttgen, Bonn) was a German mathematician who worked on differential geometry and in particular on closed geodesics.


see also

Affine bundle

Sardanashvily, G., Advanced Differential Geometry for Theoreticians.

Closed manifold

Michael Spivak: A Comprehensive Introduction to Differential Geometry. Volume 1.

Differential topology

Differential topology is the study of the (infinitesimal, local, and global) properties of structures on manifolds having no non-trivial local moduli, whereas differential geometry is the study of the (infinitesimal, local, and global) properties of structures on manifolds having non-trivial local moduli.

Erlangen program

Heinrich Guggenheimer (1977) Differential Geometry, Dover, NY, ISBN 0-486-63433-7.

General covariant transformations

Sardanashvily, G., Advanced Differential Geometry for Theoreticians. Fiber bundles, jet manifolds and Lagrangian theory, Lambert Academic Publishing: Saarbrücken, 2013.

Indicatrix

Tangent indicatrix, an object in differential geometry related to a closed space curve

Involution

Involute, a construction in the differential geometry of curves

Principal direction

Principal directions - In differential geometry, one of the directions of principal curvature.