A combinatorial formula for the normal Euler class of a lattice -manifold in -space
Author: Boris V. Yusin
Journal: Proc. Amer. Math. Soc. 92 (1984), 578-592
MSC: Primary 57R20; Secondary 52A25, 53A07, 57Q35
MathSciNet review: 760949
Abstract: For a lattice -manifold immersed in -space with all faces parallel to coordinate planes it is possible to assign a local index to each vertex type in a unique way so that the sum of vertex indices gives the normal Euler number of the immersion. Related results for simplicial immersions have been established by T. Banchoff.
Keywords: Normal curvature, normal Euler class, lattice -manifold, curvature for polyhedra, combinatorial formulas for characteristic classes
Article copyright: © Copyright 1984 American Mathematical Society