Comparison theorems for the volume of a complex submanifold of a Kaehler manifold
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Publication:808008
DOI10.1007/BF02811888zbMath0731.53062MaRDI QIDQ808008
Publication date: 1990
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Kähler manifoldholomorphic sectional curvaturecomplex surfacetubesantiholomorphic Ricci curvaturerelative volume
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Global submanifolds (53C40)
Related Items (4)
Unnamed Item ⋮ On the growth of the relative volume of a tube with its radius ⋮ Bounded mean curvature isometric immersions of a compact Riemannian manifold with images contained in a tube ⋮ Comparing the relative volume with a revolution manifold as a model
Cites Work
- Volume estimates for real hypersurfaces of a Kaehler manifold with strictly positive holomorphic sectional and antiholomorphic Ricci curvatures
- A new formula for the shape operator of a geodesic sphere and its applications
- On the volume of positively curved Kähler manifolds
- Comparison theorems for the volumes of tubes as generalizations of the Weyl tube formula
- A general comparison theorem with applications to volume estimates for submanifolds
- Volumes of Tubes About Complex Submanifolds of Complex Projective Space
- Real Hypersurfaces and Complex Submanifolds in Complex Projective Space
- Focal Sets and Real Hypersurfaces in Complexes Projective Space
- Jacobi fields and geodesic spheres
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