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Found 165 Documents (Results 1–100)

Left-invariant optimal control problems on Lie groups that are integrable by elliptic functions. (English. Russian original) Zbl 07745486

Russ. Math. Surv. 78, No. 1, 65-163 (2023); translation from Usp. Mat. Nauk 78, No. 1, 67-166 (2023).
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Left-invariant optimal control problems on Lie groups: classification and problems integrable by elementary functions. (English. Russian original) Zbl 1502.53045

Russ. Math. Surv. 77, No. 1, 99-163 (2022); translation from Usp. Mat. Nauk 77, No. 1, 109-176 (2022).
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Geometry of Banach limits and their applications. (English. Russian original) Zbl 1464.46012

Russ. Math. Surv. 75, No. 4, 725-763 (2020); translation from Usp. Mat. Nauk 75, No. 4, 153-194 (2020).
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Polynomial graph invariants and linear hierarchies. (English. Russian original) Zbl 1439.37070

Russ. Math. Surv. 74, No. 2, 366-368 (2019); translation from Usp. Mat. Nauk 74, No. 2, 189-190 (2019).
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Topological integrability, classical and quantum chaos, and the theory of dynamical systems in the physics of condensed matter. (English. Russian original) Zbl 1439.37062

Russ. Math. Surv. 74, No. 1, 141-173 (2019); translation from Usp. Mat. Nauk 74, No. 1, 149-184 (2019).
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Derived noncommutative schemes, geometric realizations, and finite dimensional algebras. (English. Russian original) Zbl 1430.14006

Russ. Math. Surv. 73, No. 5, 865-918 (2018); translation from Usp. Mat. Nauk 73, No. 5, 123-182 (2018).
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A complete classification of generic singularities of geodesic flows on 2-surfaces with pseudo-Riemannian metrics. (English. Russian original) Zbl 1385.53010

Russ. Math. Surv. 72, No. 3, 577-579 (2017); translation from Usp. Mat. Nauk 72, No. 3, 195-196 (2017).
MSC:  53B30 53C22 53D25
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Combinatorial solutions to integrable hierarchies. (English. Russian original) Zbl 1330.14061

Russ. Math. Surv. 70, No. 3, 453-482 (2015); translation from Usp. Mat. Nauk. 70, No. 3, 77-106 (2015).
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Extremal metrics for eigenvalues of the Laplace-Beltrami operator on surfaces. (English. Russian original) Zbl 1328.53078

Russ. Math. Surv. 68, No. 6, 1073-1130 (2013); translation from Usp. Mat. Nauk 68, No. 6, 107-168 (2013).
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Classical and quantum Teichmüller spaces. (English. Russian original) Zbl 1285.30026

Russ. Math. Surv. 68, No. 3, 435-502 (2013); translation from Usp. Mat. Nauk 68, No. 3, 39-110 (2013).
Reviewer: Chong Wu (Chengdu)
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Geodesics on hypersurfaces in Minkowski space: singularities of signature change. (English. Russian original) Zbl 1254.53071

Russ. Math. Surv. 66, No. 6, 1201-1203 (2011); translation from Usp. Mat. Nauk 66, No. 6, 193-194 (2011).
MSC:  53C22 53B30 34A26 34C20 53C44
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Topology and stability of integrable systems. (English. Russian original) Zbl 1202.37077

Russ. Math. Surv. 65, No. 2, 259-317 (2010); translation from Usp. Mat. Nauk 65, No. 2, 71-132 (2010).
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Index theory and non-commutative geometry on foliated manifolds. (English. Russian original) Zbl 1180.58006

Russ. Math. Surv. 64, No. 2, 273-391 (2009); translation from Usp. Mat. Nauk 64, No. 2, 73-202 (2009).
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On canonical parametrization of the phase spaces of equations of isomonodromic deformations of Fuchsian systems of dimension \( 2\times 2\). Derivation of the Painlevé VI equation. (English. Russian original) Zbl 1180.34099

Russ. Math. Surv. 64, No. 1, 45-127 (2009); translation from Usp. Mat. Nauk 64, No. 1, 51-134 (2009).
MSC:  34M55 33E17 34A26 34M35 37J05 34M03
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Duality in a special class of submanifolds and Frobenius manifolds. (English. Russian original) Zbl 1188.53007

Russ. Math. Surv. 63, No. 2, 378-380 (2008); translation from Usp. Mat. Nauk. 63, No. 2, 177-178 (2008).
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On organizing principles of discrete differential geometry. Geometry of spheres. (English. Russian original) Zbl 1192.51010

Russ. Math. Surv. 62, No. 1, 1-43 (2007); translation from Usp. Mat. Nauk 62, No. 1, 3-50 (2007).
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The theory of curves in differential geometry from the viewpoint of the theory of functions of a real variable. (English) Zbl 1143.53005

Russ. Math. Surv. 60, No. 6, 1165-1181 (2005); translation from Usp. Mat. Nauk 60, No. 6, 157-174 (2005).
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The Knizhnik-Zamolodchikov equations for positive genus, and Krichever-Novikov algebras. (English. Russian original) Zbl 1066.17014

Russ. Math. Surv. 59, No. 4, 737-770 (2004); translation from Usp. Mat. Nauk 59, No. 4, 147-180 (2004).
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The \(w\)-function of a solution of the \(g\)th stationary KdV equation. (English. Russian original) Zbl 1060.37054

Russ. Math. Surv. 58, No. 4, 780-781 (2003); translation from Usp. Mat. Nauk 58, No. 4, 145-146 (2003).
Reviewer: Ma Wen-Xiu (Tampa)
MSC:  37K10 35Q53 37K20
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Asymptotics of the attainable growth of the quasiconformity coefficient at infinity and the injectivity of immersions of Riemannian manifolds. (English. Russian original) Zbl 1124.30303

Russ. Math. Surv. 58, No. 3, 624-626 (2003); translation from Usp. Mat. Nauk 58, No. 3, 191-192 (2003).
MSC:  30C65 53C42
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Hypercomplex and hyper-Kähler structures on tangent bundles of Hermitian symmetric spaces of rank one. (English. Russian original) Zbl 1063.53053

Russ. Math. Surv. 58, No. 1, 185-186 (2003); translation from Usp. Mat. Nauk 58, No. 1, 189-190 (2003).
MSC:  53C26 53C35 53C55
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Essential self-adjointness of Schrödinger-type operators on manifolds. (English. Russian original) Zbl 1052.58027

Russ. Math. Surv. 57, No. 4, 641-692 (2002); translation from Usp. Mat. Nauk 57, No. 4, 3-58 (2002).
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On the asymptotic directions of semitrajectories of analytic flows on surfaces. (English. Russian original) Zbl 1047.37026

Russ. Math. Surv. 57, No. 6, 1207-1209 (2002); translation from Usp. Mat. Nauk 57, No. 6, 169-170 (2002).
MSC:  37E35 53C22
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The manifold of solutions of the equation \([\frac{\partial^2}{\partial u_1\partial u_2}-6\wp_{1,2}(u_1,u_2)+E]\psi=0\). (English. Russian original) Zbl 1057.37065

Russ. Math. Surv. 56, No. 6, 1155-1157 (2001); translation from Usp. Mat. Nauk 56, No. 6, 141-142 (2001).
MSC:  37K20 14H99 35P05
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Isometric immersions of space forms into Riemannian and pseudo-Riemannian spaces of constant curvature. (English. Russian original) Zbl 1038.53062

Russ. Math. Surv. 56, No. 3, 425-497 (2001); translation from Usp. Mat. Nauk 56, No. 3, 3-78 (2001).
MSC:  53C42 53C40 53-02
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Simple homotopy type of the Novikov complex and the Lefschetz \(\zeta\)-function of a gradient flow. (English. Russian original) Zbl 0939.57026

Russ. Math. Surv. 54, No. 1, 119-169 (1999); translation from Usp. Mat. Nauk 54, No. 1, 117-170 (1999).
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Asymptotics of the spectrum of the Laplace-Beltrami operator on tori with Liouville and infra-Liouville metrics. (English. Russian original) Zbl 0920.58056

Russ. Math. Surv. 52, No. 2, 430-431 (1997); translation from Usp. Mat. Nauk 52, No. 2, 163-164 (1997).
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On the Higson-Roe corona. (English. Russian original) Zbl 0921.58064

Russ. Math. Surv. 52, No. 5, 1017-1028 (1997); translation from Usp. Mat. Nauk 52, No. 5, 133-146 (1997).
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The differential geometry of tangential Hermitian surfaces. (English. Russian original) Zbl 0878.53032

Russ. Math. Surv. 51, No. 3, 555-556 (1996); translation from Usp. Mat. Nauk 51, No. 3, 203-204 (1996).
MSC:  53C15 53C55
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Conformally plane metrics, systems of hydrodynamic type, and non-local Hamiltonian operators. (English. Russian original) Zbl 0859.53005

Russ. Math. Surv. 50, No. 4, 811-813 (1995); translation from Usp. Mat. Nauk 50, No. 4, 175-176 (1995).
Reviewer: I.Mladenov (Sofia)
MSC:  53A30 70H25 53C07 76M30
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The geometry of hypersurfaces of quasi-Kählerian manifolds. (English. Russian original) Zbl 0866.53042

Russ. Math. Surv. 50, No. 2, 440-441 (1995); translation from Usp. Mat. Nauk 50, No. 2, 213-214 (1995).
MSC:  53C40 53C55 53C15
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Quadratic Poisson brackets in the Zeeman effect. Irreducible representations and coherent states. (English. Russian original) Zbl 0846.58026

Russ. Math. Surv. 49, No. 5, 179-180 (1994); translation from Usp. Mat. Nauk 49, No. 5, 169-170 (1994).
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Geometry of canonical structures on homogeneous \(\Phi\)-spaces of order 4. (English. Russian original) Zbl 0831.53030

Russ. Math. Surv. 49, No. 4, 149-150 (1994); translation from Usp. Mat. Nauk 49, No. 4(298), 153-154 (1994).
MSC:  53C30
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The Hermitian geometry of the 6-dimensional submanifolds of a Cayley algebra. (English. Russian original) Zbl 0855.53027

Russ. Math. Surv. 49, No. 1, 223-224 (1994); translation from Usp. Mat. Nauk 49, No. 1(295), 205-206 (1994).
MSC:  53C40 53C15 53C55
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The relative symplectic volume on orbits of a coadjoint representation of simple Lie groups. (English. Russian original) Zbl 0842.58036

Russ. Math. Surv. 48, No. 6, 185-186 (1993); translation from Usp. Mat. Nauk 48, No. 6(294), 173-174 (1993).
MSC:  37J99 37J35 37K10
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On the law of composition of velocities in special relativity theory. (English. Russian original) Zbl 0814.53057

Russ. Math. Surv. 48, No. 5, 183-184 (1993); translation from Usp. Mat. Nauk 48, No. 5(293), 183-184 (1993).
MSC:  53Z05 83A05
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On the geometry of the Bochner tensor of nearly Kähler manifolds. (English. Russian original) Zbl 0818.53085

Russ. Math. Surv. 48, No. 5, 155-156 (1993); translation from Usp. Mat. Nauk 48, No. 5(293), 155-156 (1993).
Reviewer: A.Neagu (Iaşi)
MSC:  53C55 32Q99
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