4 problems

The paper considers a newly derived eight-dimensional hyper-Kähler metric and the known eight-dimensional generalizations of the Taub–NUT metric associated with the rank-two simple…

The paper constructs an eight-dimensional noncompact hyper-Kähler metric, denoted here by $g$, and refers to a known metric with a discrete $Z_2$ isometry that may be obtained from…

Let $g_m$ be the Taub–NUT metric on $\mathds{C}^2$, with $m>0$, and let $\alpha$ be a positive real number. A metric is projectively induced if it admits a Kähler immersion into co…

Classification conjecture. Any scalar-flat Kähler toric metric on $X$ is a Donaldson generalized Taub–NUT metric corresponding to an admissible parameter $\nu\in\mathbb{R}^2$.