Time-like isothermic surfaces associated to Grassmannian systems

M.P. Dussan; M.A. Magid

doi:10.4171/dm/198

JournalsdmVol. 10pp. 527–549

Time-like isothermic surfaces associated to Grassmannian systems

M.P. Dussan
Department of Mathematics Department of Mathematics IME - USP Wellesley College São Paulo, Brazil Wellesley, MA
M.A. Magid
Department of Mathematics Department of Mathematics IME - USP Wellesley College São Paulo, Brazil Wellesley, MA

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Abstract

We establish that, as is the case with space-like isothermic surfaces, time-like isothermic surfaces in pseudo-riemannian space $R^{n - j, j}$ are associated to the $O (n - j + 1, j + 1) / O (n - j, j) \times O (1, 1)$ -system.

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M.P. Dussan, M.A. Magid, Time-like isothermic surfaces associated to Grassmannian systems. Doc. Math. 10 (2005), pp. 527–549

DOI 10.4171/DM/198