L-S category of quaternionic Stiefel manifolds

Abstract

By calculating certain generalized cohomology theory, lower bounds for the L-S category of quaternionic Stiefel manifolds are given.

Lusternik-Schnirelmann category of stunted quasi-projective spaces

“…Theorem 1.1 (Kishimoto and Kono). This reaults obtained by Kishimoto and Kono to give a lower bound of L-S category of quaternic Stiefel manifolds [9].…”

Relative singular value decomposition and applications to LS-category

“…Let us also mention that Morse-Bott functions are also present in [9], [13] for the study of LS-category. Finally recall the existence of a lower bound for the LS-category of Stiefel manifolds, generally better than the classical cup-length, established by Kishimoto in [7], and recalled in Theorem 4.1.…”

“…We recall basic definitions and properties of the Lusternik-Schnirelmann category (LS-category in short). We also state the results on the LS-category of Stiefel manifolds obtained by T. Nishimoto ( [15]) and D. Kishimoto ( [7]) as well as the technique for the construction of categorical open subsets, introduced by the authors in [14].…”