Kahler differential

Given a finite set of points in the projective plane, we use the module of Kahler differentials to investigate the configurations of these points. More precisely, depending on the values of the Hilbert function of the module of Kahler differential 3-forms, we determine whether the set of points lies on a non-singular conic, or on two different lines, or on single line.

13p vimelindagates 18-07-2022 13 2   Download

Using moving frames we obtain a formula to calculate the codifferential of the Kahler form on a maximal flag manifold. We use this formula to obtain some differential type conditions so that a metric on the classical maximal flag manifold be cosymplectic.

11p tuongvidanh 06-01-2019 18 2   Download