24 citations · 171 across the 71 of their papers we have counts for
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Explicit round fold maps on some fundamental manifolds
Naoki Kitazawa
Stable fold maps are fundamental tools in a generalization of the theory of Morse functions on smooth manifolds and its application to studies of topological properties of smooth m…
Constructions of round fold maps on circle bundles
Naoki Kitazawa
{\it Fold maps} are fundamental tools in generalizing the theory of Morse functions and its application to studies of geometric properties of manifolds. One of the fundamental and…
Constructions of round fold maps on bundles
Naoki Kitazawa
In this paper, we construct round fold maps or stable fold maps with concentric singular value sets introduced by the author on smooth bundles over spheres or bundles over more gen…
Round fold maps and the topologies and the differentiable structures of manifolds admitting explicit ones
Naoki Kitazawa
Stable fold maps are fundamental tools in a generalization of the theory of Morse functions on smooth manifolds and its application to studies of geometric properties of smooth man…