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Topics in Contemporary Differential Geometry, Complex Analysis and Mathematical Physics : Proceedings of the 8th International Workshop on Complex Structures and Vector Fields, Institute of Mathematics and Informatics, Bulgaria, 21-26 August 2006 / editors, Stancho Dimiev, Kouei Sekigawa.

By: (8th : International Workshop on Complex Structures and Vector Fields (8th : 2006 : Sofia, Bulgaria)Contributor(s): Dimiev, Stancho | Sekigawa, KoueiMaterial type: TextTextPublication details: Singapore ; Hackensack, NJ : World Scientific, ©2007. Description: 1 online resource (xiv, 335 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9789812709806; 9812709800; 1281121975; 9781281121974; 9786611121976; 6611121978Subject(s): Functional analysis -- Congresses | Geometry, Differential -- Congresses | Mathematical physics -- Congresses | MATHEMATICS -- Functional Analysis | Functional analysis | Geometry, Differential | Mathematical physicsGenre/Form: Electronic books. | Conference papers and proceedings. | Electronic books. Additional physical formats: Print version:: Topics in contemporary differential geometry, complex analysis and mathematical physics.DDC classification: 515/.7 LOC classification: QA319 | .I59 2006ebOnline resources: Click here to access online
Contents:
Moduli space of killing helices of low orders on a complex space form / T. Adaci -- Type two Killing helices of proper order four on a complex projective plane / T. Adachi and S. Maeda -- Real analyticity of the hyperkahler almost Kahler manifolds / L.N. Apostolova -- KCC and linear stability for the Parkinson tremor model / V. Balan -- The Camasa-Holm equation as a geodesic flow for the H1 right-invariant metric / A. Constantin and R.I. Ivanov -- Fermi-Walker parallel transport, time evolution of a space curve and the Schrodinger equation as a moving curve / R. Dandoloff -- Remarks on bicomplex variables and other similar variables / S. Dimiev, R. Lazov and S. Slavova -- Integrability, curvature and description of photon-like objects / S. Donev and M. Tashkova -- Complex submanifolds and Lagrangian submanifolds associate with minimal surfaces in tori / N. Ejiri -- About resonances for Schrodinger operators with short range singular pertubation / V. Georgiev and N. Visciglia -- Soliton equations with deep reductions. Generalized fourier transforms / V. Gerdjukov, N. Kostov and T. Valchev -- On some deformations of almost complex structures of 6-dimensional submanifods in the octonions / H. Hashimoto -- On the real hypersurfaces of locally conformally-Kahler manifolds / M.J. Hristov -- Normal frames and linear transports along paths in line bundles. Apllications to classical electrodynamics -- B.Z. Iliev -- Existence and uniqueness results for the Schrodinger; poisson sustem below the energy norm / A.M. Ivanov and G.P Venkov -- Double-complex quadratic forms / B. Kiradjiev -- Effects of finite arithmetic in numerical computations / M.M. Konstantinov and P.H. Petkov -- Exact solutions of the manakov system / N.A. Kostov -- The Manakov system as two moving interacting curves / N.A. Kostov [and others] -- Cluster sets and periodicity in some structure fractals / J. Lawrynowicz, S. Marchiafava and M. Nowak-Kepczyk -- Sectional curvatures of some homogenous real hypersurfaces in a complex projective space / S. Maeda and M. Kimura -- On three-parametric Lie groups as quasi-Kahler manifolds with killing Norden metric / M. Manev, K. Gribachev and D. Mekerov -- Application of unscented and extended Kalman filtering for estimating quaternion motion / V. Markova -- Counterexamples of compact type to the Goldberg conjecture and various version of the conjecture / Y. Matsishita -- Dispersion and asymptotic profiles for Kirchhoff equations / T. Matsuyama and M. Ruzhansky -- Geometry pf statisticl manifolds and its generalization / H. Matsuzoe -- On some non-integrable almost contact manifolds with norden metric of dimension 5 / G. Nakova -- Complexification of the propagator for the harmonic oscillator / T. Nitta -- Some critical almost Kahler structures with a fixed Kahler class / T. Oguro, K. Sekigawa and A. Yamada -- On the hypoellipticity of some classes of overdetermined systems of differential and pseudodifferential operators / P.R. Popivanov -- Lie groups as four-dimensional Riemannian product manifolds -- D.K. Shtarbeva -- Differential forms of many double-complex variables / P.V. Stoev -- Isometric immersions and extrinsic shapes of smooth curves / T. Sugiyama -- Lie groups as four-dimensional conformal Kahler manifolds with Norden metric / M. Teofilova -- Backlund transformations and Riemann-Hilbert problem for N wave equations with additional symmetries / T. Valchev.
Summary: This volume contains the contributions by the participants in the eight of a series workshops in complex analysis, differential geometry and mathematical physics and related areas. Active specialists in mathematical physics contribute to the volume, providing not only significant information for researchers in the area but also interesting mathematics for non-specialists and a broader audience. The contributions treat topics including differential geometry, partial differential equations, integrable systems and mathematical physics.
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... held at Bulgarian Academy of Sciences, Institute of Mathematics and Informatics (Sofia) from August 21 to August 2, 2006"--Preface.

Includes bibliographical references and index.

Print version record.

This volume contains the contributions by the participants in the eight of a series workshops in complex analysis, differential geometry and mathematical physics and related areas. Active specialists in mathematical physics contribute to the volume, providing not only significant information for researchers in the area but also interesting mathematics for non-specialists and a broader audience. The contributions treat topics including differential geometry, partial differential equations, integrable systems and mathematical physics.

Moduli space of killing helices of low orders on a complex space form / T. Adaci -- Type two Killing helices of proper order four on a complex projective plane / T. Adachi and S. Maeda -- Real analyticity of the hyperkahler almost Kahler manifolds / L.N. Apostolova -- KCC and linear stability for the Parkinson tremor model / V. Balan -- The Camasa-Holm equation as a geodesic flow for the H1 right-invariant metric / A. Constantin and R.I. Ivanov -- Fermi-Walker parallel transport, time evolution of a space curve and the Schrodinger equation as a moving curve / R. Dandoloff -- Remarks on bicomplex variables and other similar variables / S. Dimiev, R. Lazov and S. Slavova -- Integrability, curvature and description of photon-like objects / S. Donev and M. Tashkova -- Complex submanifolds and Lagrangian submanifolds associate with minimal surfaces in tori / N. Ejiri -- About resonances for Schrodinger operators with short range singular pertubation / V. Georgiev and N. Visciglia -- Soliton equations with deep reductions. Generalized fourier transforms / V. Gerdjukov, N. Kostov and T. Valchev -- On some deformations of almost complex structures of 6-dimensional submanifods in the octonions / H. Hashimoto -- On the real hypersurfaces of locally conformally-Kahler manifolds / M.J. Hristov -- Normal frames and linear transports along paths in line bundles. Apllications to classical electrodynamics -- B.Z. Iliev -- Existence and uniqueness results for the Schrodinger; poisson sustem below the energy norm / A.M. Ivanov and G.P Venkov -- Double-complex quadratic forms / B. Kiradjiev -- Effects of finite arithmetic in numerical computations / M.M. Konstantinov and P.H. Petkov -- Exact solutions of the manakov system / N.A. Kostov -- The Manakov system as two moving interacting curves / N.A. Kostov [and others] -- Cluster sets and periodicity in some structure fractals / J. Lawrynowicz, S. Marchiafava and M. Nowak-Kepczyk -- Sectional curvatures of some homogenous real hypersurfaces in a complex projective space / S. Maeda and M. Kimura -- On three-parametric Lie groups as quasi-Kahler manifolds with killing Norden metric / M. Manev, K. Gribachev and D. Mekerov -- Application of unscented and extended Kalman filtering for estimating quaternion motion / V. Markova -- Counterexamples of compact type to the Goldberg conjecture and various version of the conjecture / Y. Matsishita -- Dispersion and asymptotic profiles for Kirchhoff equations / T. Matsuyama and M. Ruzhansky -- Geometry pf statisticl manifolds and its generalization / H. Matsuzoe -- On some non-integrable almost contact manifolds with norden metric of dimension 5 / G. Nakova -- Complexification of the propagator for the harmonic oscillator / T. Nitta -- Some critical almost Kahler structures with a fixed Kahler class / T. Oguro, K. Sekigawa and A. Yamada -- On the hypoellipticity of some classes of overdetermined systems of differential and pseudodifferential operators / P.R. Popivanov -- Lie groups as four-dimensional Riemannian product manifolds -- D.K. Shtarbeva -- Differential forms of many double-complex variables / P.V. Stoev -- Isometric immersions and extrinsic shapes of smooth curves / T. Sugiyama -- Lie groups as four-dimensional conformal Kahler manifolds with Norden metric / M. Teofilova -- Backlund transformations and Riemann-Hilbert problem for N wave equations with additional symmetries / T. Valchev.

English.

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