## Found 78 Documents (Results 1–78)

### Numerical methods of interpolation for the solution of some problems of the convex geometry in Lobachevsky’s space.(Russian. English summary)Zbl 1289.53027

MSC:  53A35 52B70 51M20 53A30

### An infinitesimally nonrigid polyhedron with nonstationary volume in the Lobachevskiĭ 3-space.(English. Russian original)Zbl 1215.52010

Sib. Math. J. 52, No. 1, 131-138 (2011); translation from Sib. Mat. Zh. 52, No. 1, 167-176 (2011).
MSC:  52C25
Full Text:

Full Text:

### Geometry of the Grassmann image of a local isometric immersion of Lobachevskij $$n$$-dimensional space in $$(2n-1)$$-dimensional Euclidean space.(English. Russian original)Zbl 0906.53038

Sb. Math. 188, No. 1, 1-27 (1997); translation from Mat. Sb. 188, No. 1, 3-28 (1997).
MSC:  53C42 53A35 53C20
Full Text:

### A problem of integral geometry connected with horospheres in the imaginary Lobachevsky space of dimension five.(English. Russian original)Zbl 0896.53012

Trans. Mosc. Math. Soc. 1996, 93-109 (1996); translation from Tr. Mosk. Mat. O.-va 57, 102-119 (1996).

### On the construction of isometric immersions of domains of the Lobachevsky plane $$L^ 2$$ into $$E^ 4$$ by using solutions of the “sine-Gordon” equation.(Russian. English, Ukrainian summaries)Zbl 0855.53004

MSC:  53A07 58J72

### Conformally-flat metrics and pseudo-Euclidean geometry.(English. Russian original)Zbl 0853.53009

Sib. Math. J. 35, No. 3, 605-613 (1994); translation from Sib. Mat. Zh. 35, No. 3, 674-682 (1994).
MSC:  53A30 53A40
Full Text:

### Conditional curvature and the Dirichlet problem in Lobachevskij space.(English. Russian original)Zbl 0831.53011

Russ. Math. Surv. 49, No. 3, 198-199 (1994); translation from Usp. Mat. Nauk 49, No. 3(297), 191-192 (1994).
MSC:  53A35 58J32
Full Text:

### Congruences of horospheres, horocycles, equidistant surfaces, and equidistant curves in the three-dimensional Lobachevskij space.(English. Russian original)Zbl 0835.53017

Russ. Math. 38, No. 3, 33-38 (1994); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1994, No. 3 (382), 35-40 (1994).
Reviewer: J.Vala (Brno)
MSC:  53A35

### On immersions of two-dimensional metrics into Euclidean space $$E^ 4$$.(English. Russian original)Zbl 0834.53009

Russ. Math. 38, No. 3, 1-7 (1994); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1994, No. 3 (382), 3-9 (1994).
MSC:  53A07

### On a generalization of the Pizetti formula in spaces of constant curvature and some mean-value theorems.(English)Zbl 0818.53062

MSC:  53C21 35J25

### The curvatures of asymptotic lines on a domain of three-dimensional Lobachevsky space that is immersed into $$E^ 5$$.(English. Russian original)Zbl 0835.53016

J. Math. Sci., New York 72, No. 4, 3155-3159 (1994); translation from Ukr. Geom. Sb. 35, 5-10 (1992).
MSC:  53A35

### On the spectral asymptotics of the Laplacian on a fundamental domain in three-dimensional hyperbolic space.(English. Russian original)Zbl 0806.58048

Proc. Steklov Inst. Math. 193, 95-100 (1993); translation from Tr. Mat. Inst. Steklova 193, 89-94 (1992).
Reviewer: P.Zabreiko (Minsk)

MSC:  53A35

### Fibre partitions of the Lobachevskij space by limit regular polytopes.(Russian. English summary)Zbl 0909.51005

MSC:  51M20 51M10

### On some tiling of the $$n$$-dimensional Lobachevskij space with congruent polytopes.(Russian)Zbl 0745.52015

MSC:  52C22 51M10

### The Lobachevskij’s function and related integrals.(English)Zbl 0745.51013

Reviewer: R.Artzy (Haifa)

### On a nonregular partitioning of $$n$$-dimensional Lobachevskij space by congruent polytopes.(English. Russian original)Zbl 0787.52012

Proc. Steklov Inst. Math. 196, 103-106 (1992); translation from Tr. Mat. Inst. Steklova 196, 93-96 (1991).
MSC:  52C22 51M10

### Bounded polytopes without ”excess rigidity” in Lobachevskij spaces.(English. Russian original)Zbl 0739.51017

Sib. Math. J. 32, No. 2, 290-296 (1991); translation from Sib. Mat. Zh. 32, No. 2(186), 131-139 (1991).
Full Text:

Full Text:

### On congruences of horocycles and horispheres in Lobachevskij space.(Russian)Zbl 0820.53023

Reviewer: J.Vala (Brno)
MSC:  53A35

MSC:  51M20
Full Text:

MSC:  51M20
Full Text:

### On the asymptotic behavior of the discrete spectrum of the Dirichlet and Neumann problems for the Laplace-Beltrami operator on a regular polyhedron in the Lobachevskij space.(English. Russian original)Zbl 0721.35050

Funct. Anal. Appl. 24, No. 1, 18-25 (1990); translation from Funkts. Anal. Prilozh. 24, No. 1, 21-28 (1990).
MSC:  35P20 35J05
Full Text:

### Kelvin decompositions of three-dimensional Lobachevskij space by regular polyhedra.(English. Russian original)Zbl 0702.51016

Russ. Math. Surv. 45, No. 1, 216-217 (1990); translation from Usp. Mat. Nauk 45, No. 1(271), 179-180 (1990).
Reviewer: E.Quaisser
MSC:  51M20 51M10
Full Text:

### Reflection subgroups of Bianchi groups.(English. Russian original)Zbl 0702.51010

Russ. Math. Surv. 45, No. 1, 227-228 (1990); translation from Usp. Mat. Nauk 45, No. 1(271), 189-190 (1990).
Reviewer: E.Quaisser
MSC:  51F15 51M10 20H15
Full Text:

### Isometric immersions, with flat normal connection, of domains of n- dimensional Lobachevsky space into Euclidean spaces. A model of a gauge field.(English. Russian original)Zbl 0684.53020

Math. USSR, Sb. 65, No. 2, 279-303 (1990); translation from Mat. Sb., Nov. Ser. 137(179), No. 3(11), 275-299 (1988).
Full Text:

### On non-normal partitions of Lobachevskij space.(Russian)Zbl 0739.51016

MSC:  51M20 52C22 51M10
Full Text:

### Regular nonnormal partitions of a Lobachevskij space by noncompact polyhedra.(Russian)Zbl 0897.51008

MSC:  51M20 51M10

### Discrete groups of motions of Lobachevskij space acting with fixed points.(Russian)Zbl 0709.51023

Reviewer: P.Burda
MSC:  51M10 51M20

### Discrete groups in three-dimensional Lobachevskij space generated by two rotations.(English. Russian original)Zbl 0705.22006

Sib. Math. J. 30, No. 1, 95-100 (1989); translation from Sib. Mat. Zh. 30, No. 1(173), 123-128 (1989).
Reviewer: K.Riives
Full Text:

### Examples of non-arithmetical crystallographic Coxeter groups in the $$n$$-dimensional Lobachevskiĭ space in the case $$6\leq n\leq 10$$.(Russian)Zbl 0765.20022

MSC:  20H15 51F15 20F55

### Hypercomplexes of straight lines in the Lobachevskij 6-space.(Russian)Zbl 0785.53012

Geometry of imbedded manifolds, Interuniv. Collect. Sci. Works, 28-33 (1989).
Reviewer: J.Vala (Brno)
MSC:  53A25 53A35

### Invariant subspaces in some functional spaces on the $$n$$-dimensional Lobachevskij space.(Russian)Zbl 0679.43004

Reviewer: G.A.Margulis
MSC:  43A15 53C35 43A05
Full Text:

### Reguli in the space $$\bar B^ 2_ 4$$ and complexes in $$^ 1S_ 5$$.(Russian)Zbl 0674.53013

Motions in generalized spaces, Interuniv. Collect. Sci. Works, 69-76 (1988).
Reviewer: A.Fleischer
MSC:  53A40

### Canonization of a frame of complexes of straight lines in the 4- Lobachevskij space.(Russian)Zbl 0674.53012

Motions in generalized spaces, Interuniv. Collect. Sci. Works, 80-84 (1988).
Reviewer: A.Fleischer
MSC:  53A35

### Isometric immersions of domains of $$n$$-dimensional Lobachevskij space in Euclidean spaces with flat normal connection. A gauge field model.(Russian)Zbl 0663.53018

Reviewer: H.Gollek
Full Text:

### On the question of the theory of rectilinear congruences of the Lobachevskij space.(Russian)Zbl 0677.53014

Studies in geometry, Thematic Collect. Sci. Works, 88-98 (1987).
Reviewer: J.Vala
MSC:  53A35 53A25

### On the asymptotic behavior of the spectral function and discrete spectrum of the Laplace-Beltrami operator on a fundamental domain of the n- dimensional Lobachevskij space.(Russian. English summary)Zbl 0672.35051

Reviewer: N.V.Kuznetsov

### The absence of discrete reflection groups with noncompact fundamental polyhedron of finite volume in Lobachevskij space of large dimension.(English)Zbl 0613.51010

MSC:  51F15 51M10 20H15
Full Text:

### Translational representations for the solution of the wave equation in a Riemannian space.(Russian)Zbl 0628.35051

Operator equations in functional spaces, Interuniv. Collect. sci. Works, Voronezh 1986, 27-32 (1986).
Reviewer: K.Barckow
MSC:  35L05 35C05

### Mappings of an ordered Lobachevskij space.(English)Zbl 0613.51013

MSC:  51G05 51B25 51M10
Full Text:

### The absence of discrete groups of reflections with noncompact fundamental polyhedron of finite volume in Lobachevskij space of large dimension.(Russian)Zbl 0604.51007

Reviewer: E.J.F.Primrose
MSC:  51F15 51M10 20H15

### Mappings of an ordered Lobachevskij space.(Russian)Zbl 0599.51016

Reviewer: K.Burian
MSC:  51G05 51B25 51M10
Full Text:

### Hyperplane sections of polyhedra, toroidal manifolds, and discrete groups in Lobachevskij space.(English. Russian original)Zbl 0597.51014

Funct. Anal. Appl. 20, 41-50 (1986); translation from Funkts. Anal. Prilozh. 20, No. 1, 50-61 (1986).
Reviewer: J.Kateřiňák
Full Text:

### Hyperbolic manifolds and special values of Dedekind zeta-functions.(English)Zbl 0591.12014

Reviewer: W.D.Neumann
MSC:  11R42 53C30 57N15 11M06
Full Text:

### On immersions of $$n$$-dimensional Lobachevskij space in 2n-dimensional Euclidean space with n principal direction fields.(English. Russian original)Zbl 0685.53010

J. Sov. Math. 48, No. 1, 1-5 (1990); translation from Ukr. Geom. Sb. 28, 3-8 (1985).
MSC:  53A07
Full Text:

### On imbeddings of the $$n$$-dimensional Lobachevskij space into the 2n- dimensional Euclidean space with n fields of principal directions.(Russian)Zbl 0577.53005

Reviewer: Z.Olszak
MSC:  53A07

### Geometric methods of constructing discrete groups of motions of Lobachevskij space.(English)Zbl 0563.51017

MSC:  51M10 51M15
Full Text:

Full Text:

### On the geometry of the manifold of elliptic straight lines in$$^ 1S_ 3$$.(Russian)Zbl 0602.53008

Reviewer: J.Vala
MSC:  53A35 53A25
Full Text:

### The quaternion generalization of the Lobachevskij plane and space.(Russian)Zbl 0579.53012

Reviewer: Z.Jankovsky
MSC:  53A40 51M10

### Dually-recurrent and almost dually-recurrent electromagnetic waves in Friedman-Lobachevskij space.(English)Zbl 0573.53045

MSC:  53B50 83C50 83F05

### Properties of the Grassmannian image for an immersion of a domain of the three-dimensional Lobachevskij space into five-dimensional Euclidean space.(Russian)Zbl 0571.53002

Reviewer: N.A.Gusevskij
MSC:  53A07

### On the geometry of focal $$(n-1)$$-parametric families of eigen straight lines of the Lobachevskij space $$^ 1S_{n+1}$$.(Russian)Zbl 0561.53015

Webs and quasigroups, Collect. sci. Works, Kalinin 1984, 104-112 (1984).
MSC:  53A40

### Dually recurrent and almost dually recurrent electromagnetic waves in Friedman-Lobachevskij space.(Russian)Zbl 0546.53018

Reviewer: R.I.Pimenov
MSC:  53B50 83C50 83F05

### On the wave equation in a Riemannian space.(Russian)Zbl 0603.35056

General theory of boundary value problems, Collect. sci. Works, Kiev 1983, 89-94 (1983).
MSC:  35L05 58B20 35C05

### Estimation of the area of a surface of a surface of the class POASIK (constant total absolute mean curvature) in three-dimensional Lobachevskij space.(Russian)Zbl 0596.53011

Questions of differential geometry ”in the large”, Interuniv. Collect. sci. Works, Leningrad 1983, 17-22 (1983).
Reviewer: V.V.Goldberg
MSC:  53A35 53C65

### Some inequalities for surfaces of the class POASIK (constant total absolute mean curvature).(Russian)Zbl 0596.53010

Questions of differential geometry ”in the large”, Interuniv. Collect. sci. Works, Leningrad 1983, 13-17 (1983).
Reviewer: V.V.Goldberg
MSC:  53A35 53A07

### The differential geometry of a ruled surface in the Lobachevskij n-space.(Russian)Zbl 0582.53016

Geometry of imbedded manifolds, Collect. sci. Works, Moskva 1983, 108-113 (1983).
MSC:  53A35

### Construction of a hypersurface with given density of integral mean curvature over the whole hyperhorisphere in Lobachevskij space.(Russian)Zbl 0573.53006

Questions of differential geometry ”in the large”, Interuniv. Collect. sci. Works, Leningrad 1983, 74-83 (1983).
Reviewer: W.Mozgawa
MSC:  53A10

### Renewal of a non-compact hypersurface spanned on a given system of contours with given mean curvature.(Russian)Zbl 0566.53011

Global and Riemannian geometry, Interuniv. Collect. sci. Works, Leningrad 1983, 44-49 (1983).
Reviewer: W.Mozgawa
MSC:  53A07 53A10

### Estimation of the volume of a body in the three-dimensional Lobachevskij space by the exterior curvature of its boundary.(Russian)Zbl 0566.53005

Questions of differential geometry ”in the large”, Interuniv. Collect. sci. Works, Leningrad 1983, 84-86 (1983).
Reviewer: Z.Olszak
MSC:  53A05 53A35

### Isometric immersions of domains of the three-dimensional Lobachevskij space in five-dimensional Euclidean space and the motion of a rigid body.(Russian)Zbl 0539.53006

Reviewer: W.Mozgawa
Full Text:

### Discrete hyperbolic geometry.(English)Zbl 0523.51016

MSC:  51M10 05C35 52C17
Full Text:

### On a method for investigating the boundary behavior of ACL-functions.(English. Russian original)Zbl 0548.31005

Sov. Math., Dokl. 26, 456-459 (1982); translation from Dokl. Akad. Nauk SSSR 266, 1052-1055 (1982).
Reviewer: L.Neckermann

### Multidimensional analog of the ”Sine-Gordon” equation and rigid body motion.(English. Russian original)Zbl 0528.70010

Sov. Phys., Dokl. 27, 452-454 (1982); translation from Dokl. Akad. Nauk SSSR 264, 1113-1116 (1982).
MSC:  70E15 70E05

### Poisson transform on the imaginary Lobachevskij plane.(Russian)Zbl 0515.43004

MSC:  43A32 43A80 43A85

### Metric fibration of Riemannian manifolds.(English)Zbl 0512.53061

Differential geometry, Budapest 1979, Colloq. Math. Soc. Janos Bolyai 31, 195-198 (1982).
MSC:  53C70 57N05 53C15 53C45 55R05 51M10

### On a noncompact decomposition of ten-dimensional Lobachevsky space.(English)Zbl 0502.51007

MSC:  51M20 51M10

### Stability of permanent motions of a gyrostat in the Lobachevskij space.(Russian)Zbl 0542.70009

Reviewer: J.Barták
MSC:  70E05 70K20

MSC:  53C60
Full Text:

### On a non-compact subdivision of the 10-dimensional Lobachevskij space.(Russian)Zbl 0465.51013

MSC:  51M20 51M10

### The arithmetic of spherically symmetric measures in Lobachevskij space.(Russian)Zbl 0444.28011

MSC:  28C10 33C55

### Infinitesimal deformation of polyhedra in Lobachevskij space.(Russian)Zbl 0474.51016

Questions of global geometry, Collect. sci. Works, Leningrad 1979, 3-7 (1979).
MSC:  51M10 51M20

### A priori estimations of the principal curvature radii of a closed convex surface of Lobachevskij space.(Russian)Zbl 0468.53051

Questions of global geometry, Collect. sci. Works, Leningrad 1979, 15-21 (1979).
MSC:  53C45 53A35

### Dirichlet problem for Monge-Ampère equations and convex surfaces with given integral curvature in Lobachevskij space.(Russian)Zbl 0424.35090

Contemporary geometry, Repub. Collect. sci. Works, Leningr. 1978, 19-29 (1978).

all top 5

all top 3