Invariants of strictly convex manifolds
type: Item
instance of: scholarly article
title: Invariants of strictly convex manifolds
zbMATH Open document ID: 0813.57022
DOI: 10.1007/BF01087538
publication date: 1994-07-13T00:00:00Z
review text: The author studies in an affine space smooth connected closed submanifolds having a nonsingular support hyperplane at each point. When the manifold is not contained in any hyperplane of the ambient space and its codimension is greater than 1, the author computes the cohomology of the set of singular support hyperplanes and the Euler number of the set of their tangent elements.
Mathematics Subject Classification ID: 57R19
Mathematics Subject Classification ID: 57R99
zbMATH DE Number: 589650
zbMATH Keywords: convex manifolds
zbMATH Keywords: convex hull
zbMATH Keywords: curvature
zbMATH Keywords: cohomology of the set of singular support hyperplanes
zbMATH Keywords: Euler number
author: V. D. Sedykh
reviewed by: Themistocles M. Rassias
MaRDI profile type: Publication
cites work: Q5797644
cites work: Gaussian distributions on locally compact abelian groups
cites work: Convex hulls and the Legendre transform
cites work: A theorem on four vertices of a convex space curve
cites work: Q3994693
cites work: The Convex Hull of a Hypersurface
cites work: Convexly generic curves in \(\mathbb{R}^3\)
cites work: The Euler Characteristic of a Generic Wavefront in a 3-Manifold
cites work: Q3361578
published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 589650