The Morse index for manifolds with constant sectional curvature

DOI10.1007/S00009-024-02682-5zbMATH Open1540.58015MaRDI QIDQ6566717

Nil I. Şirikçi

Publication date: 3 July 2024

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Riemannian geometryMorse indexconstant sectional curvature

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Index theory and related fixed-point theorems on manifolds (58J20) Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20)

Cites Work

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• A new obstruction to embedding Lagrangian tori
• The free loop space of globally symmetric spaces
• On the Morse index in variational calculus
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• The Morse index theorem in semi-Riemannian geometry
• Maslov class rigidity for Lagrangian submanifolds via Hofer's geometry
• Displaceability of certain constant sectional curvature Lagrangian submanifolds
• Equivariant Morse theory and closed geodesics
• A Morse index theorem for perturbed geodesics on semi-Riemannian manifolds
• Action Selectors and Maslov Class Rigidity
• A 𝐾-theoretic proof of the Morse index theorem in semi-Riemannian geometry
• THE SPACE OF CLOSED CURVES ON A PROJECTIVE SPACE

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