Groups of Automorphisms of Kaehler Manifolds

Title : Groups of Automorphisms of Kachler Manifolds 5. Author : S. I. Goldberg 11 THE TALING PAINTINVESTY LIBRARY 6. Date of Report : July , 1959 7. Contract Number : AF 49 ( 638 ) -14 8. Abstract : A. Lichnerowicz proved that the ...

Author: S. I. Goldberg

Publisher:

ISBN: UOM:39015095250703

Category: Conformal mapping

Page: 14

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Automorphisms of Manifolds and Algebraic K Theory Part III

groups. of. some. stratified. spaces. When we evaluate characteristic invariants of manifolds on a manifold M, we expect and normally have enough invariance under the discrete group of automorphisms of M. It can be very hard to ...

Author: Michael S. Weiss

Publisher: American Mathematical Soc.

ISBN: 9781470409814

Category: Mathematics

Page: 110

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The structure space of a closed topological -manifold classifies bundles whose fibers are closed -manifolds equipped with a homotopy equivalence to . The authors construct a highly connected map from to a concoction of algebraic -theory and algebraic -theory spaces associated with . The construction refines the well-known surgery theoretic analysis of the block structure space of in terms of -theory.
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Transformation Groups in Differential Geometry

Infinitesimal Isometries and Characteristic Numbers . . Automorphisms of Complex Manifolds. . . . . . . . . . . 1. 2. The Group of Automorphisms of a Complex Manifold . . Compact Complex Manifolds with Finite Automorphism Groups .

Author: Shoshichi Kobayashi

Publisher: Springer Science & Business Media

ISBN: 9783642619816

Category: Mathematics

Page: 182

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Given a mathematical structure, one of the basic associated mathematical objects is its automorphism group. The object of this book is to give a biased account of automorphism groups of differential geometric struc tures. All geometric structures are not created equal; some are creations of ~ods while others are products of lesser human minds. Amongst the former, Riemannian and complex structures stand out for their beauty and wealth. A major portion of this book is therefore devoted to these two structures. Chapter I describes a general theory of automorphisms of geometric structures with emphasis on the question of when the automorphism group can be given a Lie group structure. Basic theorems in this regard are presented in §§ 3, 4 and 5. The concept of G-structure or that of pseudo-group structure enables us to treat most of the interesting geo metric structures in a unified manner. In § 8, we sketch the relationship between the two concepts. Chapter I is so arranged that the reader who is primarily interested in Riemannian, complex, conformal and projective structures can skip §§ 5, 6, 7 and 8. This chapter is partly based on lec tures I gave in Tokyo and Berkeley in 1965.
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Some Finiteness Results for Groups of Automorphisms of Manifolds

We prove that in dimensions not equal to 4,5,7 the homology and homotopy groups of the topological group of diffeomorphisms of a disk fixing the boundary are finitely generated in each degree.

Author: Alexander Kupers

Publisher:

ISBN: OCLC:951370938

Category:

Page:

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We prove that in dimensions not equal to 4,5,7 the homology and homotopy groups of the topological group of diffeomorphisms of a disk fixing the boundary are finitely generated in each degree. The proof uses homological stability, embedding calculus and the arithmeticity of mapping class groups. From this we deduce similar results for the homeomorphisms of R^n and various types of automorphisms of 2-connected manifolds.
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Lectures on the Automorphism Groups of Kobayashi Hyperbolic Manifolds

([I2])Let M be a connected non-homogeneous hyperbolic manifold of dimension n > 2 with d(M) = n°. Assume that for a point p e M its orbit O(p) is spherical. Then O(p) is CR-equivalent to one of the following hypersurfaces: (i) a lens ...

Author: Alexander Isaev

Publisher: Springer

ISBN: 9783540691532

Category: Mathematics

Page: 144

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In this monograph the author presents a coherent exposition of recent results on complete characterization of Kobayashi-hyperbolic manifolds with high-dimensional groups of holomorphic automorphisms. These classification results can be viewed as complex-geometric analogues of those known for Riemannian manifolds with high-dimensional isotropy groups that were extensively studied in the 1950s-70s.
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Manifolds and Lie Groups

Let p:T"> T" be a group automorphism of the torus T". Then the following conditions are mutually equivalent: (1) p is an Anosov diffeomorphism, (2) p is expansive, (3) (p is structurally stable, (4) p is stochastically stable, ...

Author: J. Hano

Publisher: Springer Science & Business Media

ISBN: 9781461259879

Category: Mathematics

Page: 463

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This volume is the collection of papers dedicated to Yozo Matsushima on his 60th birthday, which took place on February 11, 1980. A conference in Geometry in honor of Professor Matsushima was held at the University of Notre Dame on May 14 and 15, 1980. Some of the papers in this volume were delivered on this occasion. 0 00 0\ - 15 S. Kobayashi, University 27 R. Ogawa, Loyola 42 P. Ryan, Indiana 1 W. Stoll 2 W. Kaup, University of of California at Berkeley University (Chicago) University at South Bend Tubing en 16 B.Y. Chen, 28 A. Howard 43 M. Kuga, SUNY at 3 G. Shimura, Michigan State University 29 D. Blair, Stony Brook Princeton University 17 G. Ludden, Michigan State University 44 W. Higgins 30 B. Smyth 4 A. Borel, Institute for Michigan State University 45 J. Curry Advanced Study 18 S. Harris, 31 A. Pradhan 46 D. Norris 32 R. Escobales, 5 Y. Matsushima University of Missouri 47 J. Spellecy Canisius College 6 Mrs. Matsushima 19 J. Beem, 48 M. Clancy 7 K. Nomizu, University of Missouri 33 L. Smiley 49 J. Rabinowitz, University 20 D. Collins, 34 C.H. Sung Brown University of Illinois at Chicago Valparaiso University 35 M. Markowitz 8 J.-1. Hano, 50 R. Richardson, Australian Washington University 36 A. Sommese 21 I. Satake, University of National University California at Berkeley 37 A. Vitter, 9 J. Carrell, University of 51 D. Lieberman, 22 H.
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Foundations of Differentiable Manifolds and Lie Groups

The elements of AB(V) are the automorphisms of V which preserve the bilinear form B. (b) We let bp = {le End(V): (1(v) ... Thus we can induce via p a manifold structure on A(G), making A(G) into a Lie group with Lie algebra isomorphic ...

Author: Frank W. Warner

Publisher: Springer Science & Business Media

ISBN: 9781475717990

Category: Mathematics

Page: 276

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Foundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. Coverage includes differentiable manifolds, tensors and differentiable forms, Lie groups and homogenous spaces, and integration on manifolds. The book also provides a proof of the de Rham theorem via sheaf cohomology theory and develops the local theory of elliptic operators culminating in a proof of the Hodge theorem.
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