Premium
Manifolds with Cusps
Author(s) -
Cromme Ludwig J.
Publication year - 1989
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19891420115
Subject(s) - mathematics , cusp (singularity) , tangent , boundary (topology) , manifold (fluid mechanics) , point (geometry) , tangent cone , dimension (graph theory) , pure mathematics , ricci flat manifold , mathematical analysis , exponential function , geometry , curvature , mechanical engineering , scalar curvature , engineering
In this paper manifolds with cusps are defined and their properties investigated. Manifolds with cusps are manifolds with boundary where the dimension of the tangent cone at points varies widely with that point. Examples are exponential sums, splines, and polynomials with only real roots. The investigations are motivated by numerical algorithms in approximation theory and other areas.