Geometry and Topology of Submanifolds, X
| Author | : Weihuan Chen |
| Publisher | : World Scientific |
| Total Pages | : 368 |
| Release | : 2000 |
| Genre | : Mathematics |
| ISBN | : 9789810244767 |
http://www.worldscientific.com/worldscibooks/10.1142/4569
Geometry And Topology Of Submanifolds X
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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 |
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 and Currents
| Author | : Weiping Li |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 200 |
| Release | : 2015-08-25 |
| Genre | : Mathematics |
| ISBN | : 1470415569 |
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 Iv - Proceedings Of The Conference On Differential Geometry And Vision
| Author | : Franki Dillen |
| Publisher | : World Scientific |
| Total Pages | : 298 |
| Release | : 1992-07-17 |
| Genre | : |
| ISBN | : 9814554626 |
This proceedings on pure and applied differential geometry, discusses several subjects in submanifold theory, such as the Willmore problem, minimal surfaces, submanifolds of finite type, affine differential geometry, indefinite Riemannian geometry, and applications of differential geometry in human and artificial vision.
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 |
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.
Geometry And Topology Of Submanifolds V - Proceedings Of The Conferences On Differential Geometry And Vision & Theory Of Submanifolds
| Author | : Franki Dillen |
| Publisher | : World Scientific |
| Total Pages | : 362 |
| Release | : 1993-09-30 |
| Genre | : |
| ISBN | : 9814552488 |
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 |
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 of Submanifolds
| Author | : Bang-Yen Chen |
| Publisher | : Courier Dover Publications |
| Total Pages | : 193 |
| Release | : 2019-06-12 |
| Genre | : Mathematics |
| ISBN | : 0486832783 |
The first two chapters of this frequently cited reference provide background material in Riemannian geometry and the theory of submanifolds. Subsequent chapters explore minimal submanifolds, submanifolds with parallel mean curvature vector, conformally flat manifolds, and umbilical manifolds. The final chapter discusses geometric inequalities of submanifolds, results in Morse theory and their applications, and total mean curvature of a submanifold. Suitable for graduate students and mathematicians in the area of classical and modern differential geometries, the treatment is largely self-contained. Problems sets conclude each chapter, and an extensive bibliography provides background for students wishing to conduct further research in this area. This new edition includes the author's corrections.
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 |
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 Viii
| Author | : Ignace Van De Woestyne |
| Publisher | : World Scientific |
| Total Pages | : 426 |
| Release | : 1996-10-25 |
| Genre | : |
| ISBN | : 9814547514 |
This proceedings consists of papers presented at the international meeting of Differential Geometry and Computer Vision held in Norway and of international meetings on Pure and Applied Differential Geometry held in Belgium. This volume is dedicated to Prof Dr Tom Willmore for his contribution to the development of the domain of differential geometry. Furthermore, it contains a survey on recent developments on affine differential geometry, including a list of publications and a problem list.
