Principal component analysis (PCA) along with its extensions to manifolds and outlier
contaminated data have been indispensable in computer vision and machine learning. In …

We study nearly geodesic immersions in higher rank symmetric spaces of non-compact type,
which we define as immersions that satisfy a bound on their fundamental form, generalizing …

This paper presents a new, provably-convergent algorithm for computing the flag-mean and
flag-median of a set of points on a flag manifold under the chordal metric. The flag manifold …

Abstract Let F Θ= G∕ P Θ be a generalized flag manifold, where G is a real non-compact
semi-simple Lie group and P Θ a parabolic subgroup. A classical result says the Schubert …

We determine the fundamental groups of symmetrizable algebraically simply connected split
real Kac-Moody groups endowed with the Kac-Peterson topology. In analogy to the finite …

Let\^ G be a complex semisimple Lie group, Q a parabolic subgroup and G a real form of\^
G. The flag manifold\^ G/Q decomposes into finitely many G-orbits; among them there is …

We study fibrations of the projective model for the symmetric space associated with $\text
{SL}(2n,\mathbb {R}) $ by codimension $2 $ projective subspaces, or pencils of quadrics. In …

The k-number of a complex flag manifold and the index number of a real flag manifold is
known to be equal to the sum of the Z 2-Betti numbers of the manifold. We give an …

We study actions by lattices in higher-rank (semi) simple Lie groups on compact manifolds.
By classifying certain measures invariant under a related higher-rank abelian action (the …

Orientability of vector bundles over real flag manifolds Page 1 Topology and its Applications
159 (2012) 2774–2786 Contents lists available at SciVerse ScienceDirect Topology and its …