Non-extendibility of Tangent Bundles of Complex Projective Spaces and Quaternion Projective Spaces

被引：0

作者：

唐梓洲 ^{[1
]}

机构：

[1] Department of Mathematics Graduate School Academia Sinica Beijing 100039 PRC

来源：

ChineseScienceBulletin | 1993年 / 13期

关键词：

tangent bundle; complex projective spaces; quaternion projective spaces;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

1 Introduction Let K be a CW-complex and L be its subcomplex. A real (resp. complex) vector bundle over L is said to be extendible to K if it is equivalent to the restriction of a real (resp. complex) vector bundle over K. R. L. E. Schwarzenberger studied the non-extendibility of vector bundles over CP~n (resp. RP~n) to CP~m(resp. RP~m), m>n, where CP~n (resp. RP~n) is the complex (resp. real)

引用

页码：1057 / 1059

页数：3

共 50 条

[21] BUNDLES OVER PRODUCTS OF INFINITE DIMENSIONAL COMPLEX PROJECTIVE SPACES
BERSTEIN, I
QUARTERLY JOURNAL OF MATHEMATICS, 1968, 19 (75): : 275 - &
[22] THE VARIETIES OF TANGENT LINES TO HYPERSURFACES IN PROJECTIVE SPACES
Ikeda, Atsushi
COMMUNICATIONS IN ALGEBRA, 2012, 40 (10) : 3716 - 3725
[23] Quantization of the geodesic flow on quaternion projective spaces
Furutani, K
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2002, 22 (01) : 1 - 27
[24] Quantization of the Geodesic Flow on Quaternion Projective Spaces
Kenro Furutani
Annals of Global Analysis and Geometry, 2002, 22 : 1 - 27
[25] Instanton bundles vs Ulrich bundles on projective spaces
Laura Costa
Rosa M. Miró-Roig
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2021, 62 : 429 - 439
[26] Instanton bundles vs Ulrich bundles on projective spaces
Costa, Laura
Miro-Roig, Rosa M.
BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY, 2021, 62 (02): : 429 - 439
[27] ON SPACES OF MAPS BETWEEN COMPLEX PROJECTIVE SPACES
MOLLER, JM
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1984, 91 (03) : 471 - 476
[28] Cohomology of configuration spaces of complex projective spaces
Tanweer Sohail
Czechoslovak Mathematical Journal, 2010, 60 : 411 - 422
[29] Laminations in complex projective spaces
Deroin, Bertrand
JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, 2008, 7 (01) : 67 - 91
[30] Spaces of non-degenerate maps between complex projective spaces
Claudio Gómez-Gonzáles
Research in the Mathematical Sciences, 2020, 7

← 1 2 3 4 5 →