Differentiable Actions On Homotopy Seven Spheres Iii

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Differentiable Actions On Homotopy Seven Spheres Iii

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Author : Chung-Tao Yang
language : en
Publisher:
Release Date : 1967

Differentiable Actions On Homotopy Seven Spheres Iii written by Chung-Tao Yang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with categories.

Denote by G the circle group of complex numbers of absolute value 1, by Z2 the subgroup of G of order 2 and by Z the group of integers. Further, denote by II an infinite cyclic group of equivariant diffeomorphism classes of free differentiable actions of G on homotopy 7-spheres. It has been shown that there is an isomorphism tau of Z onto II such that for an integer i, if a free differentiable action of G on a homotopy 7-sphere sigma sub i is in tau(i), then the first Pontrjagin class of the Orbit space sigma sub i/G is given by Pi(sigma sub i/G) = (24i + 4) a sub i to the second power where a sub i is a generator of H squared (sigma sub i/G;Z). It is known that sigma sub i has the ordinary differentiable structure if i = 0 or 6 mod 14. The purpose of this paper is to investigate the free differentiable actions of Z2 on sigma sub i obtained from the actions of G. Our main results is that the Browder-Livesay invariant of (Z2, sigma sub i) is equal to 8i so that for i not equal to j, (Z2, sigma sub i) and (Z2, sigma sub j) are not piecewise linearly equivalent. (Author).

Differentiable Actions Of Homotopy Seven Spheres Ii

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Author : D. Montgomery
language : en
Publisher:
Release Date : 1968

Differentiable Actions Of Homotopy Seven Spheres Ii written by D. Montgomery and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with categories.

The paper presents a theorem which shows that there are exactly six unoriented homotopy 7-spheres not diffeomorphic to one another such that on each of them there is a free differentiable action of the circle group. Moreover, on any homotopy 7-sphere, if there exists a free differentiable action of the circle group, then there are infinitely many topologically distinct from one another.

Differentiable Actions On Homotopy Seven Spheres

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Author : D. Montgomery
language : en
Publisher:
Release Date : 1965

Differentiable Actions On Homotopy Seven Spheres written by D. Montgomery and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with categories.

This report presents studies of differentiable actions of the circle group SO(2) on homotopy 7-spheres. The class of free such actions is shown to form an infinite abelian group which is closely related to the group of differentiable knotted 3-spheres in the 6-sphere. Studies are also presented on actions, each having a 3-sphere as the fixed point set and acting freely otherwise. (Author).

Research In Progress

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Author :
language : en
Publisher:
Release Date : 1971

Research In Progress written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Military research categories.

Group Actions On Manifolds

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Author : Reinhard Schultz
language : en
Publisher: American Mathematical Soc.
Release Date : 1985

Group Actions On Manifolds written by Reinhard Schultz and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.

Presents an understanding of the sorts of problems one studies in group actions and the methods used to study such problems. This book features articles based upon lectures at the 1983 AMS-IMS-SIAM Joint Summer Research Conference, Group Actions on Manifolds, held at the University of Colorado.

Free Differentiable Actions On Homotopy Spheres

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Author : D. Montgomery
language : en
Publisher:
Release Date : 1968

Free Differentiable Actions On Homotopy Spheres written by D. Montgomery and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with categories.

Proceedings Of The Second Conference On Compact Tranformation Groups University Of Massachusetts Amherst 1971

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Author : H. T Ku
language : en
Publisher: Springer
Release Date : 2006-11-15

Proceedings Of The Second Conference On Compact Tranformation Groups University Of Massachusetts Amherst 1971 written by H. T Ku and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.

Proceedings Of The Conference On Transformation Groups

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Author : P. S. Mostert
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Proceedings Of The Conference On Transformation Groups written by P. S. Mostert and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

These Proceedings contain articles based on the lectures and in formal discussions at the Conference on Transformation Groups held at Tulane University, May 8 to June 2, 1967 under the sponsorship of the Advanced Science Seminar Projects of the National Science Foun dation (Contract No. GZ 400). They differ, however, from many such Conference proceedings in that particular emphasis has been given to the review and exposition of the state of the theory in its various mani festations, and the suggestion of direction to further research, rather than purely on the publication of research papers. That is not to say that there is no new material contained herein. On the contrary, there is an abundance of new material, many new ideas, new questions, and new conjectures~arefully incorporated within the framework of the theory as the various authors see it. An original objective of the Conference and of this report was to supply a much needed review of and supplement to the theory since the publication of the three standard works, MONTGOMERY and ZIPPIN, Topological Transformation Groups, Interscience Pub lishers, 1955, BOREL et aI. , Seminar on Transformation Groups, Annals of Math. Surveys, 1960, and CONNER and FLOYD, Differen tial Periodic Maps, Springer-Verlag, 1964. Considering this objective ambitious enough, it was decided to limit the survey to that part of Transformation Group Theory derived from the Montgomery School.

Proceedings Of The Second Conference On Compact Transformation Groups University Of Massachusetts Amherst 1971

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Author : H. T Ku
language : en
Publisher: Springer
Release Date : 2006-11-15

Proceedings Of The Second Conference On Compact Transformation Groups University Of Massachusetts Amherst 1971 written by H. T Ku and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.

Scientific And Technical Aerospace Reports

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Author :
language : en
Publisher:
Release Date : 1968

Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Aeronautics categories.

Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.