Almost complex structures on \(S^{2m}\times\mathbb{C} P^ 2\) and \(S^{2m}\times\mathbb{C} P^ 3\)
type: Item
instance of: scholarly article
title: Almost complex structures on \(S^{2m}\times\mathbb{C} P^ 2\) and \(S^{2m}\times\mathbb{C} P^ 3\)
zbMATH Open document ID: 0779.53023
author: Zizhou Tang
published in: Chinese Science Bulletin
publication date: 1993-08-26T00:00:00Z
review text: \textit{B. Datta} and \textit{S. Subramanian} [Topology Appl. 36, No. 1, 39-42 (1990; Zbl 0711.53030)] showed the nonexistence of almost complex structures on \(S^{2p}\times S^{2q}\) which implies that \(S^{2m} \times\mathbb{C} P^ 1\) has an almost complex structure iff \(m = 0,1,2\) or 3. The main results here state that \(S^{2m}\times\mathbb{C} P^ 2\) has an almost complex structure iff \(m = 0,1\), or 3 and \(S^{2m} \times CP^ 3\) has an almost complex structure iff \(m = 0,1,2,3\).
Mathematics Subject Classification ID: 53C15
zbMATH DE Number: 205810
zbMATH Keywords: almost complex structures
reviewed by: Cornelia-Livia Bejan
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 205810