arXiv subjects

Masaro Takahashi

Publications and source records attributed to Masaro Takahashi.

2 recordsLinked to original sources

arXiv2014

Holomorphic isometric embeddings of the projective line into quadrics

We discuss holomorphic isometric embeddings of the projective line into quadrics using a generalisation of the theorem of do Carmo--Wallach to provide a description of their moduli spaces up to image and gauge--equivalence. Moreover, we show rigidity of the real standard map from the projective line into quadrics.

math.DG↗

arXiv2001

An analogue of minimal surface theory in SL(n,C)/SU(n)

We shall discuss the class of surfaces with holomorphic right Gauss maps in non-compact duals of compact semisimple Lie groups (e.g. SL(n,C)/SU(n)), which contains minimal surfaces in R^n and constant mean curvature 1 surfaces in H^3. A Weierstrass type representation formula, and a Chern-Osserman type inequality for such surfaces are given.

math.DG↗