The Gauss-Bonnet theorem and Crofton-type formulas in complex space forms

DOI10.1007/s11856-011-0083-8zbMath1262.53066arXiv0904.0336OpenAlexW3098437834MaRDI QIDQ1758981

Judit Abardia-Evéquoz, Eduardo Gallego, Gil Solanes

Publication date: 19 November 2012

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

Full work available at URL: https://arxiv.org/abs/0904.0336

zbMATH Keywords

Crofton's formulaGauss-Bonnet-Chern formulaHermitian intrinsic volume

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Integral geometry (53C65)

Related Items (13)

Valuations and Curvature Measures on Complex Spaces ⋮ The spherical convex floating body ⋮ Estimates for the extremal sections of complex \(\ell_p\)-balls ⋮ Valuations on manifolds and integral geometry ⋮ Classification of invariant valuations on the quaternionic plane ⋮ Integral geometry of complex space forms ⋮ Unitarily invariant valuations and Tutte’s sequence ⋮ The complex L_p Loomis-Whitney inequality ⋮ Contact measures in isotropic spaces ⋮ Algebraic Integral Geometry ⋮ Integral geometry of unitary area measures ⋮ Volume inequalities for complex isotropic measures ⋮ Aleksandrov-Fenchel inequalities for unitary valuations of degree 2 and 3

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