Differential Geometry (research Notes In Mathematics Series)


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L A Cordero (Elitor) University of Santiago.de Compostela Differential geometry Pitman Advanced Publishing Program LONDON MELBOURNE PITMAN PUBLISHING INC 1020 Plain Street, Marshfield, Massachusetts 02050 PIThIAN PUBLISHING LIMITED 128 Long Acre, London WC2E 9AN Associated Companies Pitman Publishing Pty Ltd. Melbourne Pitman Publishing New Zealand Ltd. Wellington Copp Clark Pitman, Toronto © L A Cordero 1985 First published 1985 53C, 57R30 AMS Subject ISSN 0743-0337 in Publication Data Library of Congress Cataloging Main entry under title: Differential geometry. (Research notes in mathematics; 131) Proceedings of a colloquium held at Santiago de Compostela, Spain, September 1984. Bibliography: p. 1. Geometry, Differential. 1. Cordero. 1. A 11. Series. QA641.D383 1985 516.36 85-6350 ISBN 0-273-08708-8 British L'lbraty Cataloguing in Publication Data Differential geometry.—(Research notes in mathematics, ISSN (1743-0337;131) 1. Geometry, Differential I. Cordero, L.A. II. Series 516.3'6 0A641 iSBN (1-273-08708-8 All tights reserved. No part of this publication may be reproduced. stored in a retrieval system, or transmitted, in any form or by means, electronic, mechanical, photocopying, recording and/or otherwise, without the prior written permission of the publishers This book may not be lent, resold, hired out or otherwise disposed of by way of trade in any form of binding or cover other than that in which it is published, without the prior consent of the publishers. Reproduced and printed by photolithography in Great Britain by BiddIes Ltd. Guildiord Contents Preface Participants in the Conference PART ONE : RIEMANNIAN GEOMETRY D.E. BLAIR Critical points of functio'is of the curvature on spaces of associated metrics 1 F.E. BURSTALL Twistor fibrations of flag manifolds and harmonic maps of a 2-sphere into a 7 J.L. CABRERIZO, M. FERNANDEZ ANDRES CR—subinanifolds of a locally conformal Kihier manIfold 17 R. CADOED The Almansi property of the distance function In the Riemannian context 33 C. CURRAS-BOSCH Infinitesimal transformations with bounded norm 41 EELLS Certain variational principles in Riemannian geometry 46 F. GOMEZ, M. The topological dimension of Jhe cut locus 61 GRAY Ersatz Chern polynomial and Weyl 's tube formula 66 J.F.T. LOPERA Conformal vector fields on a certain class of nilpotent groups 76 A. MACHADO, I. SALAVESSA Grassman manifolds as subsets of Euclidean spaces 85 5.14. SALMON Minimal surfaces and symetric spaces 103 U. SIMON Eigenvalues of the Laplacian and minimal J. G-deformations into spheres 115 and Weyl's tube theorem 121 of surfaces in R3 and R1 138 oF a harmonic morphism 149 S.c. )LIATION THEORY NT HAL , fibre spaces and product decompositions J. GIRBQJ, M. NICOLALJ of holoinorphic foliations dnC transversely holomorphic 162 A. .JGER of local isometries 174 A. Generalized foliations and local Lie algebras of Kirillov 198 X. MASA Cohomology of Lie foliations 211 J. PRADINES Graph and holonoiny of singular foliations 215 H. SARALEGtJI The Euler class for flows of Isometries 220 H. SUZUKI An interpretation of the Well operator x(y1) 228
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