24 citations · 171 across the 71 of their papers we have counts for
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A class of naturally generalized special generic maps
Naoki Kitazawa
Special generic maps are generalizations of Morse functions with exactly two singular points on spheres and canonical projections of unit spheres. They restrict the manifolds of th…
New families of manifolds with similar cohomology rings admitting special generic maps
Naoki Kitazawa
As Reeb's theorem shows, Morse functions with exactly two singular points on closed manifolds are very simple and important. They characterize spheres whose dimensions are not …
Round fold maps into the plane on some -dimensional closed and simply-connected manifolds
Naoki Kitazawa
Round fold maps are smooth maps on closed manifolds which are locally represented as the product maps of Morse functions and identity maps on open disks and whose singularity is re…
Special generic maps into on closed and simply-connected manifolds and information on the cohomology of the manifolds
Naoki Kitazawa
Morse functions with exactly two singular points on spheres and canonical projections of spheres belong to the class of a certain good class of smooth maps: special generic maps. W…
On the non-existence of special generic maps on complex projective spaces
Naoki Kitazawa
We prove the non-existence of special generic maps on complex projective space as our extended new result. Simplest special generic maps are Morse functions with exactly two singul…
Characterizing certain classes of -dimensional closed and simply-connected manifolds via special generic maps
Naoki Kitazawa
The present paper finds new necessary and sufficient conditions for -dimensional closed and simply-connected manifolds of certain classes to admit special generic maps into cert…
Proofs of the non-existence of special generic maps on the -dimensional complex projective space
Naoki Kitazawa
We prove the non-existence of special generic maps on -dimensional complex projective space as our new result and a corollary by several methods. Special generic maps are genera…
Restrictions on special generic maps into on -dimensional or higher dimensional closed and simply-connected manifolds
Naoki Kitazawa
The class of special generic maps is a natural class of smooth maps containing Morse functions on spheres with exactly two singular points and canonical projections of unit spheres…