DSpace Collection:
http://hdl.handle.net/11422/57
2024-03-29T09:11:12ZFoliations with Morse singularities
http://hdl.handle.net/11422/8760
Title: Foliations with Morse singularities
Author(s)/Inventor(s): Khan, Rizwan
Advisor: Scárdua, Bruno César Azevedo
Abstract: In this work we study codimension one smooth foliations with Morse singularities without saddle connections on closed manifolds. We extend the results of [2], [3], which are extension of classical result of Reeb in [15], [17] and the result of E Wagneur [44]. In particular we extend the following result of [2] which says, a closed connected and oriented three dimensional manifold admitting Morse foliation having more center singu- larities than saddles is diffeomorphic to three spahere. We extend its n-dimensional case too which is in [3]. We also Extend Haefliger’s type theorem for S 3. In [2], [3] the results has been proved by using the technique of eliminating trivial center- saddle pairs of singularities. In this work we prove the same results in [2], [3] by coupling and eliminating of pair of complementary saddles.
Publisher: Universidade Federal do Rio de Janeiro
Type: Tese2016-02-02T00:00:00Z