Equivariant almost complex structures on quasitoric manifolds

被引：0

作者：

A. A. Kustarev

机构：

[1] Moscow State University,

来源：

Proceedings of the Steklov Institute of Mathematics | 2009年 / 266卷

关键词：

STEKLOV Institute; Toric Variety; Homotopy Class; Homotopy Group; Torus Action;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

It is proved that there exists an equivariant almost complex structure on any quasitoric manifold that admits a positive omniorientation. This gives an answer to the question raised by M. Davis and T. Januszkiewicz: Find a criterion for the existence of an equivariant almost complex structure on a quasitoric manifold in terms of its characteristic function.

引用

页码：133 / 141

页数：8

共 50 条

[11] Almost complex structures on hyperbolic manifolds
Kotschick, D.
MATHEMATISCHE ZEITSCHRIFT, 2023, 305 (01)
[12] Nonexistence of almost complex structures on Dold manifolds
唐梓洲
Science China Mathematics, 1996, (09) : 919 - 924
[13] Nonexistence of almost complex structures on Dold manifolds
Tang, ZZ
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 1996, 39 (09): : 919 - 924
[14] Compatible complex structures on almost quaternionic manifolds
Alekseevsky, DV
Marchiafava, S
Pontecorvo, M
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 351 (03) : 997 - 1014
[15] NONEXISTENCE OF ALMOST COMPLEX STRUCTURES ON GRASSMANN MANIFOLDS
SANKARAN, P
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 113 (01) : 297 - 302
[16] Almost complex structures on connected sums of almost complex manifolds and complex projective spaces
Huijun Yang
Archiv der Mathematik, 2019, 113 : 489 - 496
[17] Almost complex structures on connected sums of almost complex manifolds and complex projective spaces
Yang, Huijun
ARCHIV DER MATHEMATIK, 2019, 113 (05) : 489 - 496
[18] ALMOST CONTACT STRUCTURES ON BRIESKORN MANIFOLDS AND COMPLEX STRUCTURES ON THEIR PRODUCTS
ABE, K
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 22 (02): : A324 - A324
[19] Almost complex and complex structures on real projective Stiefel manifolds
Korbaš J.
Sankaran P.
Rendiconti del Circolo Matematico di Palermo, 1999, 48 (1) : 5 - 12
[20] ALMOST COMPLEX STRUCTURES IN BUNDLE SPACES OVER ALMOST CONTACT MANIFOLDS
TANNO, S
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1965, 17 (02) : 167 - +

← 1 2 3 4 5 →