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- Title
Conformal geometry of isotropic curves in the complex quadric.
- Authors
Musso, Emilio; Nicolodi, Lorenzo
- Abstract
Let ℚ 3 be the complex 3-quadric endowed with its standard complex conformal structure. We study the complex conformal geometry of isotropic curves in ℚ 3 . By an isotropic curve, we mean a nonconstant holomorphic map from a Riemann surface into ℚ 3 , null with respect to the conformal structure of ℚ 3 . The relations between isotropic curves and a number of relevant classes of surfaces in Riemannian and Lorentzian spaceforms are discussed.
- Subjects
CONFORMAL geometry; HOLOMORPHIC functions; SYMPLECTIC groups; MINIMAL surfaces; QUADRICS; RIEMANN surfaces
- Publication
International Journal of Mathematics, 2022, Vol 33, Issue 8, p1
- ISSN
0129-167X
- Publication type
Article
- DOI
10.1142/S0129167X22500549