The topological matter of holonomy displacement on the principal \(U(n)\)-bundle over \(D_{n, m},\) related to complex surfaces

DOI10.1016/J.GEOMPHYS.2018.02.004zbMath1387.53062OpenAlexW2789834561WikidataQ126199073 ScholiaQ126199073MaRDI QIDQ1745686

Taechang Byun

Publication date: 18 April 2018

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2018.02.004

zbMATH Keywords

Riemannian submersioncomplex surfaceGrassmannian manifoldcomplete totally geodesic submanifoldholonomy displacementarea form

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Differential geometry of symmetric spaces (53C35) Issues of holonomy in differential geometry (53C29)

Related Items (1)

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Cites Work

• The topological aspect of the holonomy displacement on the principal \(\mathrm{U}(n)\) bundles over Grassmannian manifolds
• Hopf tori in \(S^ 3\)
• HOLONOMY DISPLACEMENTS IN THE HOPF BUNDLES OVER <TEX>$\mathcal{C}$</TEX>HⁿAND THE COMPLEX HEISENBERG GROUPS
• Metric foliations and curvature
• Unnamed Item
• Unnamed Item

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