首页|Reducible Conformal Minimal Immersions with Constant Curvature from S2 to Q6
Reducible Conformal Minimal Immersions with Constant Curvature from S2 to Q6
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Using the harmonic map theory,we study the geometry of conformal minimal two-spheres immersed in Q6,or a real Grassmannian manifold G(2,8;R)equivalently.Then we classify the linearly full reducible conformal minimal immersions with constant Gaussian curva-ture from S2 to Q6 under some conditions.We also construct specific examples of non-congruent two-spheres with the same Gaussian curvature,up to SO(8)-equivalence,for each case.
conformal minimal immersionconstant curvatureisotropy ordersecond funda-mental form
Xiaoxiang JIAO、Mingyue LI
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School of Mathematical Science,University of Chinese Academy of Sciences,Beijing 100049,P.R.China
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