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Các không gian quỹ đạo địa sinh của nhóm Lie hữu hạn cấp hai
Tóm tắt
Các không gian quỹ đạo địa sinh là các không gian đồng nhất Riemann (G/H, g) mà trong đó các đường địa sinh là các quỹ đạo của các nhóm một tham số thuộc G. Chúng tôi phân loại các không gian quỹ đạo địa sinh liên thông đơn giản mà trong đó G là một nhóm Lie hữu hạn cấp hai. Chúng tôi chứng minh rằng các không gian duy nhất mà trong đó métrique g không được sinh ra từ một métrique bi-bất biến trên G là các mặt cầu nhất định và các không gian suy diễn, được trang bị các métrique sinh ra từ các phân hoạch Hopf.
Từ khóa
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