Harmonic tori in quaternionic projective 3-spaces

Author:
Seiichi Udagawa

Journal:
Proc. Amer. Math. Soc. **125** (1997), 275-285

MSC (1991):
Primary 58E20, 53C42

DOI:
https://doi.org/10.1090/S0002-9939-97-03638-1

MathSciNet review:
1353402

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Abstract | References | Similar Articles | Additional Information

Abstract: Burstall classified conformal non-superminimal harmonic two-tori in spheres and complex projective spaces. In this paper, we shall classify conformal non-superminimal harmonic two-tori in a 2- or 3-dimensional quaternionic projective space, which are not always covered by primitive harmonic two-tori of finite type.

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Additional Information

**Seiichi Udagawa**

Affiliation:
Department of Mathematics, School of Medicine, Nihon University, Itabashi, Tokyo 173, Japan

Email:
h01217@sinet.ad.jp

DOI:
https://doi.org/10.1090/S0002-9939-97-03638-1

Received by editor(s):
June 26, 1995

Communicated by:
Peter Li

Article copyright:
© Copyright 1997
American Mathematical Society