Read e-book online Global Differential Geometry and Global Analysis: PDF

By D. Ferus, U. Simon, U. Pinkall, B. Wegner

ISBN-10: 0387547282

ISBN-13: 9780387547282

All papers showing during this quantity are unique study articles and feature no longer been released in different places. They meet the necessities which are precious for e-book in a high quality fundamental magazine. E.Belchev, S.Hineva: at the minimum hypersurfaces of a in the neighborhood symmetric manifold. -N.Blasic, N.Bokan, P.Gilkey: The spectral geometry of the Laplacian and the conformal Laplacian for manifolds with boundary. -J.Bolton, W.M.Oxbury, L.Vrancken, L.M. Woodward: minimum immersions of RP2 into CPn. -W.Cieslak, A. Miernowski, W.Mozgawa: Isoptics of a strictly convex curve. -F.Dillen, L.Vrancken: Generalized Cayley surfaces. -A.Ferrandez, O.J.Garay, P.Lucas: On a undeniable category of conformally flat Euclidean hypersurfaces. -P.Gauduchon: Self-dual manifolds with non-negative Ricci operator. -B.Hajduk: at the obstruction team toexistence of Riemannian metrics of confident scalar curvature. -U.Hammenstaedt: Compact manifolds with 1/4-pinched damaging curvature. -J.Jost, Xiaowei Peng: The geometry of moduli areas of solid vector bundles over Riemannian surfaces. - O.Kowalski, F.Tricerri: A canonical connection for in the community homogeneous Riemannian manifolds. -M.Kozlowski: a few unsuitable affine spheres in A3. -R.Kusner: A greatest precept at infinity and the topology of whole embedded surfaces with consistent suggest curvature. -Anmin Li: Affine completeness and Euclidean completeness. -U.Lumiste: On submanifolds with parallel better order primary shape in Euclidean areas. -A.Martinez, F.Milan: Convex affine surfaces with consistent affine suggest curvature. -M.Min-Oo, E.A.Ruh, P.Tondeur: Transversal curvature and tautness for Riemannian foliations. -S.Montiel, A.Ros: Schroedinger operators linked to a holomorphic map. -D.Motreanu: prevalent life of Morse features on limitless dimensional Riemannian manifolds and purposes. -B.Opozda: a few extensions of Radon's theorem.

Show description

Read Online or Download Global Differential Geometry and Global Analysis: Proceedings, Berlin 1991 PDF

Similar geometry and topology books

Download e-book for iPad: Real Methods in Complex and CR Geometry: Lectures given at by Marco Abate, John Erik Fornaess, Xiaojun Huang, Jean-Pierre

The geometry of actual submanifolds in advanced manifolds and the research in their mappings belong to the main complex streams of latest arithmetic. during this zone converge the strategies of varied and complex mathematical fields resembling P. D. E. 's, boundary price difficulties, precipitated equations, analytic discs in symplectic areas, advanced dynamics.

Das Zebra-Buch zur Geometrie by Prof. Ferdinand Verhulst, Prof. Dr. Sebastian Walcher PDF

In den Niederlanden erscheint seit etwa zehn Jahren die erfolgreiche "Zebra-Reihe" mit Broschüren zu Mathematik fuer Projekte und selbstgesteuertes Lernen. Die Themen sind ohne vertiefte Vorkenntnisse zugänglich und ermöglichen eigenes Erforschen und Entdecken von Mathematik. Die Autoren der Bände sind Schulpraktiker, Mathematikdidaktiker und auch Fachwissenschaftler.

Extra resources for Global Differential Geometry and Global Analysis: Proceedings, Berlin 1991

Example text

Then ~,~ are ambient isometric (by a isometry of CP n) if and only if their directrix curves are equivalent. 26 Proof Suppose the directrix curves are projectively equivalent, ~o - g ~o" say It follows from Theorem 4 and the lemma that g ~0(z) - (adj g)t ~n(-ipf) - (g-1)t ~0(z), so that gig ~0 - ~0" Since ~0 is linearly full g ~ PU(n+I). The converse is trivial. Remark The condition of factoring through RP 2 is crucial here. result is not true in general. [l]). This, together with Theorem 2, is a first step in dealing with the space of minimal immersions of S ~ into Sn.

16) with C a constant. 9) to obtain (n + 2 ) a A a = --(n + 2)c~a" + 3(n -- 1)(a') 2. 1) we get a A a = (A -I~12)a 2. ~(n + 8 ) ~ ) 4--~----~ ] ~ =0. 19) one has 2 ( 4 - n) n2(n +5) 4 T- ~ (a'? - 2-~ = iS ~ - ~ 2 . 20) that a is locally constant on N, which is a contradiction with the definition of U. Hence o~ is constant on M". 1) into 53 consideration, we have (A~)~ = (A -- 1~I2)H, so that either c~ = 0 and M " is minimal or I~12 A and therefore I~12 is constant. But we had at most two different eigenvalues, then because a and lal 2 are constant, such eigenvalues are also constant.

X2k+2 ) = 0. By induction, the first part of the lemma is proved. The proof of the second part is similar, starting from the fact that v2kh = 0 implies that also Y2k+lh = 0. The proof of the following lemma is completely similar to the proof of Lemma 2. Lemma 3 Let M be an equiaffine surface in 0{3 with second fundamental form h. Then v2k+lh = 0 implies that R k + l . vh = 0. The following lemma follows immediately from the skew symmetry of the affine curvature tensor R in its first two components.

Download PDF sample

Global Differential Geometry and Global Analysis: Proceedings, Berlin 1991 by D. Ferus, U. Simon, U. Pinkall, B. Wegner


by Robert
4.0

Rated 4.79 of 5 – based on 10 votes