6533b7d0fe1ef96bd125acb7

RESEARCH PRODUCT

Total curvatures of compact complex submanifolds in $$C/P^n$$

Antonio Martínez NaveiraXimo Gual Arnau

subject

Pure mathematicsDifferential geometryMathematics::Complex VariablesMathematical analysisProjective connectionMathematics::Differential GeometryGeometry and TopologyCharacterization (mathematics)CurvatureSubmanifoldAnalysisInterpretation (model theory)Mathematics

description

LetM be a complex submanifold in\(C/P^n\). We define the total curvatures ofM and we get a local interpretation of them. Finally, we give a topological characterization for the total (non-absolute) curvature of complex hypersurfaces in\(C/P^n\).

https://doi.org/10.1007/bf00774562