In this work, we study the set of strictly accretive matrices, that is, matrices with positive definite Hermitian part, and show can be interpreted as a smooth manifold. Using recently proposed symmetric polar decomposition for sectorial manifold is diffeomorphic to direct product (Hermitian) unitary matrices. Utilizing decomposition, introduce family Finsler metrics on characterize their geode...

In this paper‎, ‎the‎ ‎authors prove that a strictly Kähler-Berwald manifold with‎ ‎nonzero constant holomorphic sectional curvature must be a‎ Kähler manifold‎.