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Anti-Kählerian geometry on Lie groups
(Springer, 2018-03-06)
Let G be a Lie group of even dimension and let (g,J) be a left invariant anti-Kähler structure on G. In this article we study anti-Kähler structures considering the distinguished cases where the complex structure J is ...
Minimal length curves in unitary orbits of a Hermitian compact operator
(Elsevier Science, 2016-04)
We study some examples of minimal length curves in homogeneous spaces of B(H) under a left action of a unitary group. Recent results relate these curves with the existence of minimal (with respect to a quotient norm) ...
Geodesic neighborhoods in unitary orbits of self-adjoint operators of K + C
(Elsevier Science, 2021-08)
In the present paper, we study the unitary orbit of a compact Hermitian diagonal operator with spectral multiplicity one under the action of the unitary group U(K+C) of the unitization of the compact operators K(H) + C, ...
G2–instantons Over Asymptotically Cylindrical Manifolds
(Mathematical Sciences Publishers, 2015)
G<inf>2</inf>–instantons Over Twisted Connected Sums
(Mathematical Sciences Publishers, 2015)