Great Sphere Fibrations of Manifolds.

Abstract

There are three questions that guide our study: (1) given two fibrations are they topologically equivalent, (2) is it possible to deform one fibration to another through a one parameter family of fibrations, and (3) what is the homotopy type of the space of all fibrations? We address these questions for great circle fibrations of odd dimensional round spheres and arbitrary great k-sphere fibrations.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1983
Accession Number
ADA132544

Entities

People

  • John Petro

Organizations

  • Air Force Institute of Technology

Tags

DTIC Thesaurus Topics

  • Air Force
  • Classification
  • Differential Geometry
  • Differential Topology
  • Embedding
  • Equations
  • Geometric Forms
  • Geometry
  • Lie Groups
  • Mathematics
  • Numbers
  • Orientation (Direction)
  • Pennsylvania
  • Sequences
  • Theses
  • Topology
  • United States

Readers

  • Graph Algorithms and Convex Optimization.
  • Theoretical Analysis.

Technology Areas

  • Space
  • Space - Orbital Debris