Trudy Mat. Inst. Steklov., 1980, Volume 152

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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

1980, Volume 152

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General information

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Contents

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Geometry of positive quadratic forms

Collection of articles

	Editor's preface S. S. Ryshkov		3
	The reduction domain, in the sense of Selling, of positive quadratic forms of five variables E. P. Baranovskii		5
	Uniqueness of classes of positive quadratic forms, on which values of Hermite constants are reached for $6\le n\le8$ N. M. Vetchinkin		34
	Regular simplexes inscribed into a cube and Hadamard matrices N. A. Grigor'ev		87
	Compact three-dimensional manifolds of constant negative curvature I. S. Gutsul		89
	Centerings of eight-dimensional lattices that preserve a frame of successive minima N. V. Zakharova		97
	A characteristic property of a disc M. D. Kovalev		124
	The Voronoj polyhedron $\Pi(n)$ for $n=5$ and maximal finite groups of integral $5\times 5$ matrices Z. D. Lomakina		138
	On a noncompact decomposition of ten-dimensional Lobachevsky space V. S. Makarov		162
	Noncompact three-dimensional manifolds of constant negative curvature that have finite measure V. S. Makarov, I. S. Gutsul		165
	Points of self-intersection of a geodesic on a smooth closed surface with locally Lobachevskij metric K. P. Makarova		170
	On the theory of construction of the Minkowski reduction domain S. S. Ryshkov, M. J. Cohn		175
	Vertexes of a symmetrized Minkowski domain for $n\le5$ S. S. Ryshkov, M. J. Cohn, Z. D. Lomakina		195
	A proof of the theorem on maximal finite groups of integral $5\times5$ matrices S. S. Ryshkov, Z. D. Lomakina		204
	Narrow latticed packing of unit balls in the space $E^n$ J. G. Horváth		216
	On the Rankin–Sobolev problem of the multidimensional zeta function (estimate of the origin of the ray of extremality of the principal perfect form) S. Sh. Shushbaev		232

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