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Minimal two-spheres of low index in mani...

Moore, John Douglas...

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Minimal two-spheres of low index in manifolds of positive complex sectional curvature by Moore, John Douglas ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	06-09-2023
Summary	Suppose that $S^n$ is given a generic Riemannian metric with sectional curvatures which satisfy a suitable pinching condition formulated in terms of complex sectional curvatures. This pinching condition is satisfied by manifolds whose real sectional curvatures $K_r(\sigma )$ satisfy $$1/2 < K_r(\sigma ) \leq 1.$$ Then the number of minimal two spheres of Morse index $\lambda $, for $n-2 \leq \lambda \leq 2n-5$, is at least $p_{3}(\lambda -n+2)$, where $p_{3}(k)$ is the number of $k$-cells in the Schubert cell decomposition for $G_3({\mathbb R}^{n+1})$.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1409.3872

Citation

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AMA 11th EditionReferences

Moore, John Douglas. Minimal two-spheres of low index in manifolds of positive complex sectional curvature. Australian National University. September 06, 2023. Accessed September 20, 2024. https://online.provdatabase.com/cite/23542

APA 7th EditionReferences

Moore, John Douglas. (2023). Minimal two-spheres of low index in manifolds of positive complex sectional curvature. Australian National University. https://online.provdatabase.com/cite/23542

Chicago 17th EditionReferences

Moore, John Douglas. Minimal two-spheres of low index in manifolds of positive complex sectional curvature. Australian National University. 2023. https://online.provdatabase.com/cite/23542

HarvardReferences

Moore, John Douglas. (2023). Minimal two-spheres of low index in manifolds of positive complex sectional curvature. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/23542. (Accessed 20 September 2024).

Harvard AustraliaReferences

Moore, John Douglas, 2023, Minimal two-spheres of low index in manifolds of positive complex sectional curvature, Australian National University, viewed 20 September 2024, <https://online.provdatabase.com/cite/23542>

MLA 9th EditionWorks Cited

Moore, John Douglas. Minimal two-spheres of low index in manifolds of positive complex sectional curvature. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/23542.

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