"Zapiski Nauchnyh Seminarov POMI"
VOL. 246
This issue is entitled "Geometry and Topology. Part 2"
editor V. A. Zalgaller
The volume contains several papers on geometry
of Grassmannian manifolds, a paper on representing a
function in several variables by a difference of
two convex functions, a paper giving a description of
nonsmooth bendings
of cylinders, and some other papers on descriptive geometry.
Topology is represented by its applications to
problems of existence of various polygons (polyhedra)
inscribed in and circumscribed about a closed convex
curve (surface). One of these results provides an improvement
of Gruenbaum's upper estimate for the maximin of diameters
of the four parts into which an arbitrary threedimensional body
of unit diameter can be divided.
Two papers are devoted to spaces with nonEuclidean metric.
Contents
 Glushakov A. N. Two questions in the exterior geometry of
Pl\"ucker embeddings for Grassmannian manifolds ....... 5
(.ps.gz)
 Egorov M. L., Zalgaller V. A. Visibility curves for ovals
..... 13
(.ps.gz)
 Zalgaller V. A. A representation of functions of several
variables as the difference of convex
functions ..... 36
(.ps.gz)
 Zalgaller V. A. Some bendings of the long cylinder
..... 66
(.ps.gz)
 Kozlov S. E. Geometry of real Grassmannian manifolds.
Parts I, II ....... 84
(.ps.gz)
 Kozlov S. E. Geometry of real Grassmannian manifolds.
Part III. ....... 108
(.ps.gz)
 Kozlov S. E. On the quadrangles inscribed in an ellips
....... 130
(.ps.gz)
 Kozlov S. E. The topology and the Lorentzinvariant
pseudo Riemannian metric of the manifold of directions in the
physical space ....... 141
(.ps.gz)
 Krym V. R. Linear spaces of kinematic type
....... 152
(.ps.gz)
 Makeev V. V. On approximation of the plane sections of
convex bodies ....... 174
(.ps.gz)
 Makeev V. V. On pentagons incribed in closed convex curve
....... 184
(.ps.gz)
 Makeev V. V. Affinecircumscribed rhombododecaedron to convex
body in $\BR^3$ ....... 191
(.ps.gz)
 Reviews ....... 196
(.ps.gz)

Paging: 200 pp.

Language: Russian
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