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On conformal minimal immersions with constant curvature from two-spheres into the complex hyperquadrics (Journal Article)

By:

Li, Hong

Contributor(s):

Jiao, Xiaoxiang

Material type: Text

TextSeries: Indian Journal of Pure and Applied Mathematics ; , Volume 54: Number 4, December 2023Publication details: New Delhi :Indian National Science Academy | Springer ,2023Description: 980-995pISSN:

0019-5588

Subject(s):

Conformal minimal surface| Isotropy order| Constant curvature| Linearly full

Online resources:

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Contents:

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Summary: Abstract: In this paper, firstly we study the geometry of conformal minimal two-spheres immersed in the complex hyperquadric . Then we classify the linearly full irreducible conformal minimal immersions with constant curvature from to () of isotropy order under some conditions, which shows that all such immersions can be expressed by Veronese surfaces in only under some conditions.

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***______{For Hard Copy, Please visit Library.}________***

Abstract: In this paper, firstly we study the geometry of conformal minimal two-spheres immersed in the complex hyperquadric
. Then we classify the linearly full irreducible conformal minimal immersions with constant curvature from to () of isotropy order under some conditions, which shows that all such immersions can be expressed by Veronese surfaces in only under some conditions.

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On conformal minimal immersions with constant curvature from two-spheres into the complex hyperquadrics (Journal Article)

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