On Symmetric Cauchy Riemann Manifolds

  title={On Symmetric Cauchy Riemann Manifolds},
  author={Wilhelm Kaup and Dmitri Zaitsev},
The Riemannian symmetric spaces play an important role in different branches of mathematics. By definition, a (connected) Riemannian manifold M is called symmetric if, to every a # M, there exists an involutory isometric diffeomorphism sa : M M having a as an isolated fixed point in M (or equivalently, if the differential dasa is the negative identity on the tangent space Ta=Ta M of M at a). In case such a transformation sa exists for a # M, it is uniquely determined and is the geodesic… CONTINUE READING