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Radon Transforms and the Rigidity of the Grassmannians (AM-156) by Hubert Goldschmidt, Jacques Gasqui

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From the above discussion concerning the parallel vector fields on the totally geodesic flat 2-torus Z and from the relations (6.8), we deduce the following result:

PROPOSITION 6.3. Let h be a section of -179220685 over -179220485, with n-179220285 3. The symmetric 2-form h satisfies the Guillemin condition if and only if the two symmetric 2-forms -179220085 and satisfy the Guillemin condition. ...

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