An example of a domain in a complex flag manifold
This paper shows an example of a connected open neighborhood of a compact connected complex submanifold in a complex flag manifold.
math.CV↗
arXiv subjects
Nobutaka Boumuki
Publications and source records attributed to Nobutaka Boumuki.
Continuous representations of semisimple Lie groups concerning homogeneous holomorphic vector bundles over elliptic adjoint orbits
Into this note we collect topics related to homogeneous vector bundles, elliptic adjoint orbits and so forth.
math.DG↗
A topic on homogeneous vector bundles over elliptic orbits: A condition for the vector spaces of their cross-sections to be finite dimensional
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 condition for the vector spaces to be finite dimensional in view of root systems.
math.DG↗
On a relation between potentials for pluriharmonic maps and para-pluriharmonic maps
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 interrelation between pluriharmonic maps and para-pluriharmonic maps. Moreover, we investigate the relation among CMC-surfaces by use of such maps.
math.DG↗