\indexentry{local   minimizer}{2}
\indexentry{submanifold property}{3}
\indexentry{Stiefel   manifold}{3}
\indexentry{submanifold}{4}
\indexentry{Grassmann   manifold}{4}
\indexentry{quotient manifold}{5}
\indexentry{chart}{6}
\indexentry{manifold}{6}
\indexentry{orthogonal group}{8}
\indexentry{Lie group}{8}
\indexentry{shape manifold}{8}
\indexentry{oblique manifold}{8}
\indexentry{flag manifold}{9}
\indexentry{essential manifold}{9}
\indexentry{steepest descent}{9}
\indexentry{tangent space}{10}
\indexentry{tangent vector}{11}
\indexentry{tangent bundle}{11}
\indexentry{Riemannian manifold}{11}
\indexentry{gradient}{11}
\indexentry{Riemannian submanifold}{12}
\indexentry{retraction}{12}
\indexentry{Newton's method}{13}
\indexentry{affine   connection}{14}
\indexentry{covariant derivative}{14}
\indexentry{trust-region method}{16}
\indexentry{BFGS}{16}
\indexentry{SQP}{16}
