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Geometry And Topology Of Submanifolds X: Differential Geometry In Honor Of Professor S S Chern

Geometry And Topology Of Submanifolds X: Differential Geometry In Honor Of Professor S S Chern
Author: Weihuan Chen
Publisher: World Scientific
Total Pages: 361
Release: 2000-11-07
Genre: Mathematics
ISBN: 9814492035

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Contents:Progress in Affine Differential Geometry — Problem List and Continued Bibliography (T Binder & U Simon)On the Classification of Timelike Bonnet Surfaces (W H Chen & H Z Li)Affine Hyperspheres with Constant Affine Sectional Curvature (F Dillen et al.)Geometric Properties of the Curvature Operator (P Gilkey)On a Question of S S Chern Concerning Minimal Hypersurfaces of Spheres (I Hiric( & L Verstraelen)Parallel Pure Spinors on Pseudo-Riemannian Manifolds (I Kath)Twistorial Construction of Spacelike Surfaces in Lorentzian 4-Manifolds (F Leitner)Nirenberg's Problem in 90's (L Ma)A New Proof of the Homogeneity of Isoparametric Hypersurfaces with (g,m) = (6, 1) (R Miyaoka)Harmonic Maps and Negatively Curved Homogeneous Spaces (S Nishikawa)Biharmonic Morphisms Between Riemannian Manifolds (Y L Ou)Intrinsic Properties of Real Hypersurfaces in Complex Space Forms (P J Ryan)On the Nonexistence of Stable Minimal Submanifolds in Positively Pinched Riemannian Manifolds (Y B Shen & H Q Xu)Geodesic Mappings of the Ellipsoid (K Voss)η-Invariants and the Poincaré-Hopf Index Formula (W Zhang)and other papers Readership: Researchers in differential geometry and topology. Keywords:Conference;Proceedings;Berlin (Germany);Beijing (China);Geometry;Topology;Submanifolds X;Differential Geometry;Dedication


Geometry and Topology of Submanifolds, X

Geometry and Topology of Submanifolds, X
Author: Weihuan Chen
Publisher: World Scientific
Total Pages: 368
Release: 2000
Genre: Mathematics
ISBN: 9789810244767

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http://www.worldscientific.com/worldscibooks/10.1142/4569


Geometry And Topology Of Submanifolds Vi - Pure And Applied Differential Geometry And The Theory Of Submanifolds

Geometry And Topology Of Submanifolds Vi - Pure And Applied Differential Geometry And The Theory Of Submanifolds
Author: Franki Dillen
Publisher: World Scientific
Total Pages: 326
Release: 1994-09-30
Genre:
ISBN: 9814550655

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The topics covered are pure differential geometry, especially submanifolds and affine differential geometry, and applications of geometry to human vision, robotics, and gastro-entrology.


Geometry and Topology of Submanifolds IX

Geometry and Topology of Submanifolds IX
Author: F. Defever
Publisher: World Scientific
Total Pages: 256
Release: 1999
Genre: Mathematics
ISBN: 9789810238971

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http://www.worldscientific.com/worldscibooks/10.1142/4122


Geometry And Topology Of Submanifolds Vii: Differential Geometry In Honour Of Prof Katsumi Nomizu

Geometry And Topology Of Submanifolds Vii: Differential Geometry In Honour Of Prof Katsumi Nomizu
Author: Franki Dillen
Publisher: World Scientific
Total Pages: 334
Release: 1995-05-09
Genre:
ISBN: 9814549460

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This volume on pure and applied differential geometry, includes topics on submanifold theory, affine differential geometry and applications of geometry in engineering sciences. The conference was dedicated to the 70th birthday of Prof Katsumi Nomizu. Papers on the scientific work and life of Katsumi Nomizu are also included.


Geometry and Topology of Submanifolds and Currents

Geometry and Topology of Submanifolds and Currents
Author: Weiping Li
Publisher: American Mathematical Soc.
Total Pages: 200
Release: 2015-08-25
Genre: Mathematics
ISBN: 1470415569

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he papers in this volume are mainly from the 2013 Midwest Geometry Conference, held October 19, 2013, at Oklahoma State University, Stillwater, OK, and partly from the 2012 Midwest Geometry Conference, held May 12-13, 2012, at the University of Oklahoma, Norman, OK. The papers cover recent results on geometry and topology of submanifolds. On the topology side, topics include Plateau problems, Voevodsky's motivic cohomology, Reidemeister zeta function and systolic inequality, and freedom in 2- and 3-dimensional manifolds. On the geometry side, the authors discuss classifying isoparametric hypersurfaces and review Hartogs triangle, finite volume flows, nonexistence of stable p-currents, and a generalized Bernstein type problem. The authors also show that the interaction between topology and geometry is a key to deeply understanding topological invariants and the geometric problems.


Geometry And Topology Of Submanifolds, Iii: Proceedings Of The Leeds Differential Geometry Workshop 1990

Geometry And Topology Of Submanifolds, Iii: Proceedings Of The Leeds Differential Geometry Workshop 1990
Author: Alan West
Publisher: World Scientific
Total Pages: 336
Release: 1991-04-22
Genre:
ISBN: 9814611344

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This workshop collected together works by experts working in various aspects of the differential geometry of submanifold and discussed recent advances and unsolved problems. Two important linking lectures were on the work done by Thorbergsson and others on classifying isoparametric submanifolds of Euclidean spaces and the generalisation of these to Hilbert spaces due to Terng and others. Isoparametric submanifolds provides examples of minimal, taut submanifolds, of harmonic maps and submanifolds with parallel second fundamental form-all topics discussed at this workshop. There were also lectures on the rapidly developing topic of the affine geometry of hypersurfaces and on applications. Amomg the applications discussed are new methods for using PDE's for generating surfaces with special shapes for use in engineering design.