most citedC^1-umbilics with arbitrarily high indices

2 citations · 2 across the 4 of their papers we have counts for

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math.DG2023

Time-like surfaces with zero mean curvature vector in 4-dimensional neutral space forms

Naoya Ando

Let be a Lorentz surface and a time-like and conformal immersion of into a 4-dimensional neutral space form with zero mean curvature vector. We see t…

math.DG2023

Umbilics of surfaces in the Lorentz-Minkowski 3-space

Naoya Ando, Masaaki Umehara

In this paper, we prove several fundamental properties on umbilics of a space-like or time-like surface in the Lorentz-Minkowski space . In particular, we show that the local…

math.DG2023

Sections of time-like twistor spaces with light-like or zero covariant derivatives

Naoya Ando

The conformal Gauss maps of time-like minimal surfaces in give sections of the time-like twistor spaces associated with the pull-back bundles such that the covariant deriva…

math.DG2015★ 2 cited

C^1-umbilics with arbitrarily high indices

Naoya Ando, Toshifumi Fujiyama, Masaaki Umehara

In this paper, the existence of C^1-umbilics with arbitrarily high indices is shown. This implies that more than C^1-regularity is required to prove Loewner's conjecture.