Symplectic geometry of vector bundle maps of tangent bundles

DOI10.1216/RMJM/1020171675zbMath1008.53046OpenAlexW2050746992MaRDI QIDQ1596560

Po-Hsun Hsieh

Publication date: 2 July 2002

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL31-3/CONT31-3/CONT31-3.html

zbMATH Keywords

Riemannian manifoldSasaki metricsymplectic formtangent bundle map

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Cites Work

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• On the differential geometry of tangent bundles of Riemannian manifolds
• The symplectic structure of Kähler manifolds of non-positive curvature
• Canonical almost Hermitian structures of normal bundles and applications to Kähler forms
• Geometry of harmonic maps
• Harmonic Maps and Minimal Immersions with Symmetries (AM-130)
• On the Geometry of the Tangent Bundle.
• ON THE SASAKI METRIC OF THE NORMAL BUNDLE OF A SUBMANIFOLD IN A RIEMANNIAN SPACE

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