@misc{10481/86616,
year = {2024},
month = {1},
url = {https://hdl.handle.net/10481/86616},
abstract = {Let X be a Stein manifold of complex dimension n > 1 endowed with a Riemannian metric g. We show that for every integer k
with [ n
2
] ≤ k ≤ n − 1 there is a nonsingular holomorphic foliation of
dimension k on X all of whose leaves are closed and g-complete. The
same is true if 1 ≤ k < [ n
2
] provided that there is a complex vector
bundle epimorphism T X → X × Cn−k . We also show that if F is a
proper holomorphic foliation on Cn (n > 1) then for any Riemannian
metric g on Cn there is a holomorphic automorphism Φ of Cn such that
the image foliation Φ∗F is g-complete. The analogous result is obtained
on every Stein manifold with Varolin’s density property.},
organization = {MCIN/AEI/10.13039/ 501100011033/, Spain: PID2020-117868GB-I00},
organization = {MCIN/AEI/10.13039/ 501100011033/, Spain: “Maria de Maeztu” Excellence Unit IMAG,  CEX2020-001105-M},
organization = {European Union: ERC Advanced HPDR, 101053085},
organization = {ARRS, Republic of Slovenia: P1-0291, J1-3005,  N1- 0237},
organization = {Universidad de Granada/CBUA},
publisher = {Springer Nature},
keywords = {Stein manifold},
keywords = {Complete holomorphic foliation},
keywords = {Density property},
title = {Complete nonsingular holomorphic foliations on Stein manifolds},
doi = {10.1007/s00009-023-02566-0},
author = {Alarcón López, Antonio and Forstnerič, Franc},
}