4 papers
math.CV2022
An example of a domain in a complex flag manifold
Nobutaka Boumuki
This paper shows an example of a connected open neighborhood of a compact connected complex submanifold in a complex flag manifold.
math.DG2019
Continuous representations of semisimple Lie groups concerning homogeneous holomorphic vector bundles over elliptic adjoint orbits
Nobutaka Boumuki
Into this note we collect topics related to homogeneous vector bundles, elliptic adjoint orbits and so forth.
math.DG2019
A topic on homogeneous vector bundles over elliptic orbits: A condition for the vector spaces of their cross-sections to be finite dimensional
Nobutaka Boumuki
In this paper we consider the complex vector spaces of holomorphic cross-sections of homogeneous holomorphic vector bundles over elliptic adjoint orbits, and provide a sufficient c…
math.DG2010
On a relation between potentials for pluriharmonic maps and para-pluriharmonic maps
Nobutaka Boumuki, Josef Dorfmeister
In this paper, we show that one can interrelate pluriharmonic maps with para-pluriharmonic maps by means of the loop group method. As an appendix, we give examples for the interrel…