Adjoint vector fields on the tangent space of semisimple symmetric spaces.

Levasseur, T.; Ushirobira, R.

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A relatively simple algebraic framework is given, in which all the compact symmetric spaces can be described and handled without distinguishing cases. We also give some applications and further results.

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Classification of invariant AHS-structures on semisimple locally symmetric spaces

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We discuss which semisimple locally symmetric spaces admit an AHS-structure invariant under local symmetries. We classify them for all types of AHS-structures and determine possible equivalence classes of such AHS-structures.