ALMOST COMPLEX STRUCTURES AND CONNECTIONS ON TM

Anton Dekr\'et

Key words: Tangent bundle, tangent value (1,1)-form, almost
complex structure, connection, semispray.

1991 Math. Subject Classification: 53C05, 58A20.

Abstract: Let $\alpha$ be a vector (1,1)-form on $TM$. In this paper
natural operators transforming $\alpha $ into connections on
$TM$, especially when $\alpha$ is an almost complex structure,
are studied and some their properties are found.