Geometry & Applications

Proceedings of the conference

dedicated to the 70th anniversary of

Professor Victor Toponogov

held at

Sobolev Institute of Mathematics

Novosibirsk, Russia
March 13-16, 2000


Editors

Yu.G. Reshetnyak, V.V. Vershinin, and V.A. Aleksandrov
Copyright © 2001 by Sobolev Institute of Mathematics

Contents

V.A. Alexandrov, V.V. Vershinin, and Yu.G. Reshetnyak
Victor Andreevich Toponogov (on the 70th anniversary of his birth) ........5-6
[Zbl 0984.01012] [PDF(Russian)]

List of V.A. Toponogov's articles ........7-10
[PDF(Russian)]

V.N. Berestovskij
A metric characterization of Riemannian submersions for A. D. Alexandrov manifolds with bounded curvature. ........11-16
[Zbl 0987.53016] [PDF(Russian)]

A.A. Borisenko and V. Miquel
A structure of Hopf hypersurfaces in Sasakian and 3-Sasakian space forms. ........17-25
[Zbl 0990.53013] [PDF(Russian)]

E.P. Volokitin and S.A. Treskov
On periodic solutions to a plane system modelling neural activity. ........26-33
[Zbl 0996.34027] [PDF(Russian)]

V.A. Gor'kavyj
Deformation of surfaces $F^2$ in $E^4$ preserving the image of the Grassmann mapping. ........34-56
[Zbl 0988.53003] [PDF(Russian)]

N.S. Dairbekov and V.A. Sharafutdinov
On the spectral rigidity problem for Anosov manifolds. ........57-75
[Zbl 0990.58020] [PDF(Russian)]

Ya.A. Kopylov and V.I. Kuz'minov
On the exactness of a cohomology sequence for a short exact sequence of complexes in a semi-abelian category. ........76-83
[Zbl 0988.18010] [PDF(Russian)]

S.S. Kutateladze
Some new trends in monadology. ........84-94
[Zbl 0987.03507] [PDF(Russian)]

A.Yu. Makovetskij
Special spines containing $F$-polyhedra satisfying hypothesis about disc transformations. ........95-101
[Zbl 1004.57015] [PDF(Russian)]

S.V. Matveev
Complexity of three-dimensional manifolds. ........102-110
[Zbl 1004.57016] [PDF(Russian)]

I.G. Nikolaev
A $C^{1,1}$ approximation of a convex hypersurface with bounded positive specific scalar curvature. ........111-127
[Zbl 0987.53002] [PDF(Russian)]

Yu.G. Nikonorov
Classification of invariant Einstein metrics on Aloff-Wallach spaces. ........128-245
[Zb0988.53017l ] [PDF(Russian)]

E.L. Pervova
Morse functions on simple polyhedra and a method of getting special spines connected with them. ........146-157
[Zbl 1004.57017] [PDF(Russian)]

Yu.G. Reshetnyak
On the theory of nonregular curves in the $n$-dimensional Euclidean space. ........158-170
[Zbl 0990.53001] [PDF(Russian)]

E.D. Rodionov and V.V. Slavskij
Conformal and rank one deformations of Riemannian metrics with zero curvature planes on a compact manifold. ........171-182
[Zbl 0990.53031] [PDF(Russian)]

I.Kh. Sabitov
Some applications of the volume formula for a polyhedron. ........183-197
[Zbl 0991.52005] [PDF(Russian)]

K.V. Storozhuk
Action of transformation groups of a Riemannian manifold on $L_p$-spaces of differential forms. ........198-203
[Zbl 0990.58002] [PDF(Russian)]

E.A. Fominykh
Complete description of the set of fundamental surfaces for some three-dimensional manifolds. ........204-214
[Zbl 1004.57018] [PDF(Russian)]


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