Note on almost complex structures on products of lens spaces

Kobayashi, Teiichi

doi:10.1017/s0305004100061958

Math. Proc. Camb. Phil. Soc.

1984

DOI: 10.1017/s0305004100061958

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Note on almost complex structures on products of lens spaces

Teiichi Kobayashi

Abstract: The purpose of this note is to count almost complex structures on products of some lens spaces.

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2016

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Nonexistence of almost complex structures on the product S2m×M

Chakraborty

Thakur

2016

Topology and its Applications

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In this note we give a necessary condition for having an almost complex structure on the product S 2m × M , where M is a connected orientable closed manifold. We show that if the Euler characteristic χ(M ) = 0, then except for finitely many values of m, we do not have almost complex structure on S 2m × M . In the particular case when M = CP n , n = 1, we show that if n ≡ 3 (mod 4) then S 2m × CP n has an almost complex structure if and only if m = 1, 3. As an application we obtain conditions on the nonexistence of almost complex structure on Dold manifolds.2010 Mathematics Subject Classification. 57R15 (57R20).

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Nonexistence of almost complex structures on the product S2m×M

Chakraborty

Thakur

2016

Topology and its Applications

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show abstract

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Note on almost complex structures on products of lens spaces

Abstract: The purpose of this note is to count almost complex structures on products of some lens spaces.

Cited by 1 publication

References 3 publications

Nonexistence of almost complex structures on the product S2m×M

Nonexistence of almost complex structures on the product S2m×M

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