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KMID : 0380319930520010019
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Journal of Korean Research Institute for Better Living
1993 Volume.52 No. 1 p.19 ~ p.30
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Morse Theory on Sphere Bundles
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Abstract
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tract-A Morse-Smale function on a finite dimensional manifold induces Morse-Smale gradient flows between the critical points and connecting orbits as boundary maps on the chain complex. The complex yields the usual singular cohomology(homology)
on
the
manifold. We use this method to study the topology on the sphere bundle using the function on the base manifold and the Euler class of the sphere bundle.
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KEYWORD
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