Description 
1 online resource (xii, 330 pages) : illustrations 
Bibliography 
Includes bibliographical references. 
Contents 
A brief portrait of the life and work of Professor Enrique Vidal Abascal / L.A. Cordero  pt. A. Foliation theory. Characteristic classes for Riemannian foliations / S. Hurder. Non uniqueergodicity of harmonic measures: Smoothing Samuel Petite's examples / B, Deroin. On the uniform simplicity of diffeomorphism groups / T. Tsuboi. On Bennequin's isotopy lemma and Thurston's inequality / Y. Mitsumatsu. On the Julia sets of complex codimensionone transversally holomorphic foliations / T. Asuke. Singular Riemannian foliations on spaces without conjugate points / A. Lytchak. Variational formulae for the total mean curvatures of a codimensionone distribution / V. Rovenski and P. Walczak. On a Weitzenböcklike formula for Riemannian foliations / V. Slesar. Duality and minimality for Riemannian foliations on open manifolds / X.M. Masa. Open problems on foliations  pt. B. Riemannian geometry. Graphs with prescribed mean curvature / M. Dajczer. Genuine isometric and conformal deformations of submanifolds / R. Tojeiro. Totally geodesic submanifolds in Riemannian symmetric spaces / S. Klein. The orbits of cohomogeneity one actions on complex hyperbolic spaces / J.C. DíazRamos. Rigidity results for geodesic spheres in space forms / J. Roth. Mean curvature flow and BernsteinCalabi results for spacelike graphs / G. Li and I.M.C. Salavessa. Riemannian geometric realizations for Ricci tensors of generalized algebraic curvature operators / P. Gilkey, S. Nikc̮ević and D. Westerman. Conformally Osserman multiply warped product structures in the Riemannian setting / M. BrozosVázquez, M.E. VázquezAbal and R. VázquezLorenzo. Riemannian [symbol]symmetric spaces / M. Goze and E. Remm. Methods for solving the Jacobi equation. Constant osculating rank vs. constant Jacobi osculating rank / T. AriasMarco. On the reparametrization of affine homogeneous geodesics / Z. Dus̮ek. Conjugate connections and differential equations on infinite dimensional manifolds / M. Aghasi [and others]. Totally biharmonic submanifolds / D. Impera and S. Montaldo. The biharmonicity of unit vector fields on the Poincaré halfspace H[symbol] / M.K. Markellos. Perspectives on biharmonic maps and submanifolds / A. Balmus. Contact pair structures and associated metrics / G. Bande and A. Hadjar. Paraquaternionic manifolds and mixed 3structures / S. Ianus and G.E. Vi̮lcu. On topological obstruction of compact positively Ricci curved manifolds / W.H. Chen. Gray curvature conditions and the TanakaWebster connection / R. Mocanu. Riemannian structures on higher order frame bundles from classical linear connections / J. Kurek and W.M. Mikulski. Distributions on the cotangent bundle from torsionfree connections / J. Kurek and W.M. Mikulski. On the geodesics of the rotational surfaces in the BianchiCartanVranceanu spaces / P. Piu and M.M. Profir. Cotangent bundles with general natural Kähler structures of quasiconstant holomorphic sectional curvatures / S.L. Druta̮. Polynomial translation Weingarten surfaces in 3dimensional Euclidean space / M.I. Munteanu and A.I. Nistor. Gstructures defined on pseudoRiemannian manifolds / I. SánchezRodríguez  List of participants. 
Summary 
This volume contains research and expository papers on recent advances in foliations and Riemannian geometry. Some of the topics covered in this volume include: topology, geometry, dynamics and analysis of foliations, curvature, submanifold theory, Lie groups and harmonic maps. Among the contributions, readers may find an extensive survey on characteristic classes of Riemannian foliations offering also new results, an article showing the uniform simplicity of certain diffeomorphism groups, an exposition of convergences of contact structures to foliations from the point of view of Thurston's and ThurstonBennequin's inequalities, a discussion about FatouJulia decompositions for foliations and a description of singular Riemannian foliations on spaces without conjugate points. Papers on submanifold theory focus on the existence of graphs with prescribed mean curvature and mean curvature flow for spacelike graphs, isometric and conformal deformations and detailed surveys on totally geodesic submanifolds in symmetric spaces, cohomogeneity one actions on hyperbolic spaces and rigidity of geodesic spheres in space forms. Geometric realizability of curvature tensors and curvature operators are also treated in this volume with special attention to the affine and the pseudoRiemannian settings. Also, some contributions on biharmonic maps and submanifolds enrich the scope of this volume in providing an overview of different topics of current interest in differential geometry. 
Local Note 
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection  North America 
Subject 
Geometry, Differential  Congresses.


Foliations (Mathematics)  Congresses.

Genre/Form 
Electronic books.


Conference papers and proceedings.


Electronic books.

Added Author 
Alvarez López, Jesús A.


GarcíaRío, Eduardo.

Other Form: 
Print version: International Colloquium on Differential Geometry (8th : 2008 : Santiago de Compostela, Spain). Differential geometry. Hackensack, NJ : World Scientific, ©2009 9789814261166 (DLC) 2009279118 (OCoLC)286504142 
ISBN 
9789814261173 (electronic bk.) 

9814261173 (electronic bk.) 

9789814261166 

9814261165 
