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Differential geometry, Valencia 2001 : proceedings of the international conference held to honour the 60th birthday of A.M. Naveira, Valencia, July 8-14, 2001 / editors, Olga Gil-Medrano, Vicente Miquel.

Contributor(s): Gil-Medrano, O. (Olga) | Miquel, Vicente | Naveira, A. M. (Antonio Martínez), 1940-Material type: TextTextPublication details: River Edge, NJ : World Scientific, ©2002. Description: 1 online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9789812777751; 981277775XSubject(s): Geometry, Differential -- Congresses | MATHEMATICS -- Geometry -- Differential | Geometry, DifferentialGenre/Form: Electronic books. | Conference papers and proceedings. | Electronic books. Additional physical formats: Print version:: Differential geometry, Valencia 2001.DDC classification: 516.3/6 LOC classification: QA641Online resources: Click here to access online
Contents:
A tour on the life and work of A.M. Naveira / Luis M. Hervella and Angel Ferrández -- Some rigidity results for compact space like surfaces in the 3-dimensional de Sitter space / Juan A. Aledo and José A. Gálvez -- Hypersurfaces with constant higher order mean curvature in Euclidean space / Luis J. Alías and J. Miguel Malacarne -- Uniqueness of spacelike hypersurfaces with constant mean curvature in generalized Robertson-Walker spacetimes / Luis J. Alías and Sebastián Montiel -- Best inequalities of Sobolev type on complete Riemannian manifolds / Thierry Aubin -- Critical points of Willmore-Chen tension functionals / Manuel Barros -- Some generalizations of twistor spaces / David E. Blair -- Biharmonic immersions into spheres / R. Caddeo, S. Montaldo and C. Oniciuc -- The Gauss map spacelike rotational surfaces with constant mean curvature in the Lorentz-Minkowski space / Rosa M.B. Chaves and Cláudia Cueva Cândido -- The intrinsic torsion of SU(3) and G[symbol] structures / Simon Chiossi and Simon Salamon -- H-hypersurfaces with finite total curvature / Manfredo P. do Carmo -- Null helices and degenerate curves in Lorentzian spaces / Angel Ferrández, Angel Giménez and Pascual Lucas -- Minimal discs bounded by straight lines / Leonor Ferrer and Francisco Martín -- Volume and energy of vector fields on spheres. A survey / Olga Gil-Medrano -- Spacelike Jordan Osserman algebraic curvature tensors in the higher signature setting / Peter B. Gilkey and Raina Ivanova -- Stability of surfaces with constant mean curvature in three-dimensional space forms / Miyuki Koiso -- Pseudo-parallel surfaces in space forms / Guillermo Antonnio Lobos -- Rotational Tchebychev surfaces of S[symbol](1) / Tsasa Lusala -- On holomophically projective mappings onto Riemannian almost-product spaces / Josef Mikeš and Olga Pokorná -- A characteristic property of the catenoid / Pablo Mira -- Convexity and semiumbilicity for surfaces in [symbol] / Simone M. Moraes and María del Carmen Romero-Fuster -- The Gauss map of minimal surfaces / Antonio Ros -- The Fermi-Walker connection on a Riemannian conformal manifold / Beatriz Salvador Allué -- On the volume and energy of sections of a circle bundle over a compact Lie group / Marcos Salvai -- On minimal growth in group theory and Riemannian geometry / Andrea Sambusetti -- Deformation of Lipschitz Riemannian metrics in the direction of their Ricci curvature / Miles Simon -- Some classification problems on natural bundles related to Weil bundles / Jiří Tomáš.
Summary: This volume presents the proceedings of a conference on differential geometry held in honour of the 60th birthday of A.M. Naveira. The meeting brought together distinguished researchers from a variety of areas in Riemannian geometry. The topics include: geometry of the curvature tensor, variational problems for geometric functionals such as Willmore-Chen tension, volume and energy of foliations and vector fields, and energy of maps. Many papers concern special submanifolds in Riemannian and Lorentzian manifolds, such as those with constant mean (scalar, Gauss, etc.) curvature and those with finite total curvature.
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Includes bibliographical references.

A tour on the life and work of A.M. Naveira / Luis M. Hervella and Angel Ferrández -- Some rigidity results for compact space like surfaces in the 3-dimensional de Sitter space / Juan A. Aledo and José A. Gálvez -- Hypersurfaces with constant higher order mean curvature in Euclidean space / Luis J. Alías and J. Miguel Malacarne -- Uniqueness of spacelike hypersurfaces with constant mean curvature in generalized Robertson-Walker spacetimes / Luis J. Alías and Sebastián Montiel -- Best inequalities of Sobolev type on complete Riemannian manifolds / Thierry Aubin -- Critical points of Willmore-Chen tension functionals / Manuel Barros -- Some generalizations of twistor spaces / David E. Blair -- Biharmonic immersions into spheres / R. Caddeo, S. Montaldo and C. Oniciuc -- The Gauss map spacelike rotational surfaces with constant mean curvature in the Lorentz-Minkowski space / Rosa M.B. Chaves and Cláudia Cueva Cândido -- The intrinsic torsion of SU(3) and G[symbol] structures / Simon Chiossi and Simon Salamon -- H-hypersurfaces with finite total curvature / Manfredo P. do Carmo -- Null helices and degenerate curves in Lorentzian spaces / Angel Ferrández, Angel Giménez and Pascual Lucas -- Minimal discs bounded by straight lines / Leonor Ferrer and Francisco Martín -- Volume and energy of vector fields on spheres. A survey / Olga Gil-Medrano -- Spacelike Jordan Osserman algebraic curvature tensors in the higher signature setting / Peter B. Gilkey and Raina Ivanova -- Stability of surfaces with constant mean curvature in three-dimensional space forms / Miyuki Koiso -- Pseudo-parallel surfaces in space forms / Guillermo Antonnio Lobos -- Rotational Tchebychev surfaces of S[symbol](1) / Tsasa Lusala -- On holomophically projective mappings onto Riemannian almost-product spaces / Josef Mikeš and Olga Pokorná -- A characteristic property of the catenoid / Pablo Mira -- Convexity and semiumbilicity for surfaces in [symbol] / Simone M. Moraes and María del Carmen Romero-Fuster -- The Gauss map of minimal surfaces / Antonio Ros -- The Fermi-Walker connection on a Riemannian conformal manifold / Beatriz Salvador Allué -- On the volume and energy of sections of a circle bundle over a compact Lie group / Marcos Salvai -- On minimal growth in group theory and Riemannian geometry / Andrea Sambusetti -- Deformation of Lipschitz Riemannian metrics in the direction of their Ricci curvature / Miles Simon -- Some classification problems on natural bundles related to Weil bundles / Jiří Tomáš.

This volume presents the proceedings of a conference on differential geometry held in honour of the 60th birthday of A.M. Naveira. The meeting brought together distinguished researchers from a variety of areas in Riemannian geometry. The topics include: geometry of the curvature tensor, variational problems for geometric functionals such as Willmore-Chen tension, volume and energy of foliations and vector fields, and energy of maps. Many papers concern special submanifolds in Riemannian and Lorentzian manifolds, such as those with constant mean (scalar, Gauss, etc.) curvature and those with finite total curvature.

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