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…
Decompositions of manifolds into submanifolds compatible with specific fold maps
Naoki Kitazawa
We present new explicit decompositions of manifolds via so-called fold maps into lower dimensional spaces. Fold maps form a nice class of so-called generic maps, generalizing Morse…
Manifolds admitting special generic maps and their nice generalized multisections
Naoki Kitazawa
We show that manifolds admitting special generic maps also admit nice generalized multisections. Special generic maps are natural generalized versions of Morse functions with exact…
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…