Detail of Academic Staff

TERAMOTO, Keisuke/ Post-doctoral Researcher

TERAMOTO, Keisuke TERAMOTO, Keisuke(Post-doctoral Researcher) I study differential geometric properties of curves and surfaces with singularities. Since the first fundamental form degenerate at singular points, curvatures diverge at that points in general. However, focusing on singularities, one can obtain several differential geometric properties of singular points. Characterizing singularities and geometric properties of parallel surfaces, focal surfaces and Gauss maps of singular surfaces, I give new geometric meanings for initial surfaces. Further, applying these methods, I study differential geometric properties ofmixed type surfaces in Lorentzian manifolds.

Keyword Singularity, Surface, Curvature