Abstract: Compact holomorphic manifolds and Riemannian manifolds invite you all to participate in their three epic stories. In the first tale, the main character is going to be a compact holomorphic manifold, and as in every story, there will be some action going on. More specifically, the group of invertible complex numbers, or even better, several copies of those, act on the manifold. The spirit of the late Andrzej Białynicki-Birula until this day helps us to comprehend what is going on.
The second story is a tale of holonomies, it begins with "a long time ago,..." and concludes with "... and the last missing piece of this mystery is undiscovered till this day". The protagonist of this part is a quaternion-Kähler manifold, while the legacy of Marcel Berger is in the background all the time.
In the third part, we meet legendary distributions, which are subbundles in the tangent bundle of one of our main characters. Among others, distributions can be foliations or contact distributions, which like yin and yang live on opposite sides of the world, yet they strongly interact with one another. Ferdinand Georg Frobenius is supervising this third part.
Finally, in the epilogue, all the threads and characters so far connect in an exquisite theorem on the classification of low-dimensional complex contact manifolds. In any dimension, the analogous classification is conjectured by Claude LeBrun and Simon Salamon, while in low dimensions, it is proved by Jarosław Wiśniewski, Andrzej Weber, in a joint work with the narrator.