Geometries and topologies of a manifold with $\pi$-quarter-symmetric projective conformal and mutual connections

Di Zhao, Kum-Hyok Kwak, Tal-Yun Ho, Chol-Yong Jon

Abstract


We investigate and study the geometrical properties of a manifold
associated with a new $\pi$-quarter-symmetric projective conformal
connection family and its mutual connection family. We also arrive
at the Schur's theorem for a manifold with respect to this new
connection.


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