On Frenet frames of complex submanifolds in complex projective spaces

DOI10.1215/S0012-7094-84-05109-3zbMath0582.32036OpenAlexW1495614079MaRDI QIDQ1069004

Hsin-Sheng Tai

Publication date: 1984

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-84-05109-3

zbMATH Keywords

curvatureFrenet frameKähler formosculating spacesChern formGrassmannpolar classVeronese embeddingsVeronese surfacescomplex submanifolds in complex projective spacesosculating metricunintegrated Plücker formula

Mathematics Subject Classification ID

Differential geometric aspects in kinematics (53A17) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Special surfaces (14J25) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25) Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations) (51M35)

Cites Work

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• On Cartan's method of Lie groups and moving frames as applied to uniqueness and existence questions in differential geometry
• Differential geometry of higher order
• Characteristic classes of Hermitian manifolds
• Polar classes of singular varieties
• The Arithmetical Invariants of Algebraic Loci
• Meromorphic Functions and Analytic Curves. (AM-12)