In this paper we study surfaces in S^4 and their twistor Gauss maps.Some necessary and sufficient conditions that the twistor Gauss map is harmonic are given.We find many examples of nonisotropic harmonic maps from a ...In this paper we study surfaces in S^4 and their twistor Gauss maps.Some necessary and sufficient conditions that the twistor Gauss map is harmonic are given.We find many examples of nonisotropic harmonic maps from a surface to(?)P^3.展开更多
We study harmonic maps from Riemann surfaces M to the loop spacesΩG of compact Lie groups G,using the twistor approach.We conjecture that harmonic maps of the Riemann sphere CP^1 intoΩG are related to Yang-Mills G-f...We study harmonic maps from Riemann surfaces M to the loop spacesΩG of compact Lie groups G,using the twistor approach.We conjecture that harmonic maps of the Riemann sphere CP^1 intoΩG are related to Yang-Mills G-fields on R^4.展开更多
We study conformal minimal two-spheres immersed into the quaternionic projective spaceℍP^(n) by using the twistor map.We present a method to construct new minimal two-spheres with constant curvature inℍP^(n),based on ...We study conformal minimal two-spheres immersed into the quaternionic projective spaceℍP^(n) by using the twistor map.We present a method to construct new minimal two-spheres with constant curvature inℍP^(n),based on the minimal property and horizontal condition of Veronese map in complex projective space.Then we construct some concrete examples of conformal minimal two-spheres inℍP^(n) with constant curvature 2/n,n=4,5,6,respectively.Finally,we prove that there exist conformal minimal two-spheres with constant curvature 2/n inℍP^(n)(n≥7).展开更多
基金Supported by the National Natural Science Foundation of China and the Science Foundation of Zhejiang Province.
文摘In this paper we study surfaces in S^4 and their twistor Gauss maps.Some necessary and sufficient conditions that the twistor Gauss map is harmonic are given.We find many examples of nonisotropic harmonic maps from a surface to(?)P^3.
基金This work was partly supported by the RFBR(Grant Nos.04-01-00236,06-02-04012)by the program of Support of Scientific Schools(Grant No.1542.2003.1)by the Scientific Program of RAS"Nonlinear Dynamics"
文摘We study harmonic maps from Riemann surfaces M to the loop spacesΩG of compact Lie groups G,using the twistor approach.We conjecture that harmonic maps of the Riemann sphere CP^1 intoΩG are related to Yang-Mills G-fields on R^4.
基金This work was supported in part by the National Natural Science Foundation of China(Grant No.11871450).
文摘We study conformal minimal two-spheres immersed into the quaternionic projective spaceℍP^(n) by using the twistor map.We present a method to construct new minimal two-spheres with constant curvature inℍP^(n),based on the minimal property and horizontal condition of Veronese map in complex projective space.Then we construct some concrete examples of conformal minimal two-spheres inℍP^(n) with constant curvature 2/n,n=4,5,6,respectively.Finally,we prove that there exist conformal minimal two-spheres with constant curvature 2/n inℍP^(n)(n≥7).
