3 papers
math.DG2023
On the boundedness of the geodesic curvature measure of a regular curve passing through a cross cap singularity
Kyoya Hashibori
In 2015, Hasegawa, Honda, Naokawa, Saji, Umehara, and Yamada defined intrinsic cross cap singularities, which are generalizations of cross cap singularities, and proved the Gauss-B…
math.DG2023
On Gauss-Bonnet type formulas for mappings between surfaces with boundary and their applications
Kyoya Hashibori
We define singular points of the first kind and singular points of the second kind as singular points of mappings between surfaces. Typical examples of these singular points are fo…
math.DG2023
Gauss-Bonnet type formulas for frontal bundles over surfaces with boundary and their applications
Kyoya Hashibori
We define a frontal bundle by imposing a compatibility condition on two types of coherent tangent bundles over a surface with boundary. Since it is known that there are two Gauss-B…