DIFFERENTIAL GEOMETRY

DIFFERENTIAL GEOMETRY
Proceedings of the VIII International Colloquium

Santiago de Compostela, Spain, 7 - 11 July 2008

CONTENTS


FRONT MATTER	i
A BRIEF PORTRAIT OF THE LIFE AND WORK OF PROFESSOR ENRIQUE VIDAL ABASCAL Luis A. Cordero	1
Part A Foliation theory
CHARACTERISTIC CLASSES FOR RIEMANNIAN FOLIATIONS Steven Hurder	11
NON UNIQUE-ERGODICITY OF HARMONIC MEASURES: SMOOTHING SAMUEL PETITE'S EXAMPLES Bertrand Deroin	36
ON THE UNIFORM SIMPLICITY OF DIFFEOMORPHISM GROUPS Takashi Tsuboi	43
ON BENNEQUIN'S ISOTOPY LEMMA AND THURSTON'S INEQUALITY Y. Mitsumatsu	56
ON THE JULIA SETS OF COMPLEX CODIMENSION-ONE TRANSVERSALLY HOLOMORPHIC FOLIATIONS Taro Asuke	65
SINGULAR RIEMANNIAN FOLIATIONS ON SPACES WITHOUT CONJUGATE POINTS Alexander Lytchak	75
VARIATIONAL FORMULAE FOR THE TOTAL MEAN CURVATURES OF A CODIMENSION-ONE DISTRIBUTION V. Rovenski and P. Walczak	83
ON A WEITZENBÖCK-LIKE FORMULA FOR RIEMANNIAN FOLIATIONS V. Slesar	94
DUALITY AND MINIMALITY FOR RIEMANNIAN FOLIATIONS ON OPEN MANIFOLDS Xosé M. Masa	102
OPEN PROBLEMS ON FOLIATIONS	104
Part B Riemannian geometry
GRAPHS WITH PRESCRIBED MEAN CURVATURE Marcos Dajczer	111
GENUINE ISOMETRIC AND CONFORMAL DEFORMATIONS OF SUBMANIFOLDS Ruy Tojeiro	120
TOTALLY GEODESIC SUBMANIFOLDS IN RIEMANNIAN SYMMETRIC SPACES Sebastian Klein	136
THE ORBITS OF COHOMOGENEITY ONE ACTIONS ON COMPLEX HYPERBOLIC SPACES José Carlos Díaz-Ramos	146
RIGIDITY RESULTS FOR GEODESIC SPHERES IN SPACE FORMS Julien Roth	156
MEAN CURVATURE FLOW AND BERNSTEIN-CALABI RESULTS FOR SPACELIKE GRAPHS Guanghan Li and Isabel M. C. Salavessa	164
RIEMANNIAN GEOMETRIC REALIZATIONS FOR RICCI TENSORS OF GENERALIZED ALGEBRAIC CURVATURE OPERATORS P. Gilkey, S. Nikčević and D. Westerman	175
CONFORMALLY OSSERMAN MULTIPLY WARPED PRODUCT STRUCTURES IN THE RIEMANNIAN SETTING M. Brozos-Vázquez, M. E. Vázquez-Abal and R. Vázquez-Lorenzo	185
RIEMANNIAN Γ-SYMMETRIC SPACES Michel Goze and Elisabeth Remm	195
METHODS FOR SOLVING THE JACOBI EQUATION: CONSTANT OSCULATING RANK VS. CONSTANT JACOBI OSCULATING RANK Teresa Arias-Marco	207
ON THE REPARAMETRIZATION OF AFFINE HOMOGENEOUS GEODESICS Zdeněk Dušek	217
CONJUGATE CONNECTIONS AND DIFFERENTIAL EQUATIONS ON INFINITE DIMENSIONAL MANIFOLDS M. Aghasi, C. T. J. Dodson, G. N. Galanis and A. Suri	227
TOTALLY BIHARMONIC SUBMANIFOLDS Debora Impera and Stefano Montaldo	237
THE BIHARMONICITY OF UNIT VECTOR FIELDS ON THE POINCARÉ HALF-SPACE Hⁿ M. K. MARKELLOS	247
PERSPECTIVES ON BIHARMONIC MAPS AND SUBMANIFOLDS A. Balmuş	257
CONTACT PAIR STRUCTURES AND ASSOCIATED METRICS G. Bande and A. Hadjar	266
PARAQUATERNIONIC MANIFOLDS AND MIXED 3-STRUCTURES S. Ianuş and G. E. Vîlcu	276
ON TOPOLOGICAL OBSTRUCTION OF COMPACT POSITIVELY RICCI CURVED MANIFOLDS Wen-Haw Chen	286
GRAY CURVATURE CONDITIONS AND THE TANAKA-WEBSTER CONNECTION Raluca Mocanu	291
RIEMANNIAN STRUCTURES ON HIGHER ORDER FRAME BUNDLES FROM CLASSICAL LINEAR CONNECTIONS J. Kurek and W. M. Mikulski	296
DISTRIBUTIONS ON THE COTANGENT BUNDLE FROM TORSION-FREE CONNECTIONS J. Kurek and W. M. Mikulski	301
ON THE GEODESICS OF THE ROTATIONAL SURFACES IN THE BIANCHI-CARTAN-VRANCEANU SPACES P. Piu and M. M. Profir	306
COTANGENT BUNDLES WITH GENERAL NATURAL KÄHLER STRUCTURES OF QUASI-CONSTANT HOLOMORPHIC SECTIONAL CURVATURES S. L. Druţă	311
POLYNOMIAL TRANSLATION WEINGARTEN SURFACES IN 3-DIMENSIONAL EUCLIDEAN SPACE M. I. Munteanu and A. I. Nistor	316
G-STRUCTURES DEFINED ON PSEUDO-RIEMANNIAN MANIFOLDS IGNACIO SÁNCHEZ-RODRÍGUEZ	321
BACK MATTER	327
Back