Laplacians for the holomorphic tangent bundles with g-nature metrics on complex Finsler manifolds
DOI10.1142/S0129167X17400110zbMath1381.53137OpenAlexW2738488814MaRDI QIDQ5365321
Weixia Zhu, Chunhui Qiu, Hong Jun Li
Publication date: 6 October 2017
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0129167x17400110
Laplaciancomplex Finsler manifoldholomorphic Killing vector fieldHodge-Laplace operatorstrongly pseudoconvex\(g\)-natural metricholomorphic tangent bundleslit holomorphic bundle
Other complex differential geometry (53C56) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Complex manifolds (32Q99)
Cites Work
- Hodge theorem for the natural projection of complex horizontal Laplacian on complex Finsler manifolds
- Bochner technique on strong Kähler-Finsler manifolds
- Laplacian on complex Finsler manifolds
- On the differential geometry of tangent bundles of Riemannian manifolds
- A vanishing theorem on Kähler Finsler manifolds
- Hodge decomposition theorem on strongly Kähler Finsler manifolds
- Finsler metrics - a global approach. With applications to geometric function theory
- Complex spaces in Finsler, Lagrange and Hamilton geometries.
- Horizontal \(\overline\partial\)-Laplacian on complex Finsler manifolds
- Curvature and Betti Numbers. II
- HORIZONTAL LAPLACIAN ON TANGENT BUNDLE OF FINSLER MANIFOLD WITH g-NATURAL METRIC
- Curvature in Hermitian metric
- Curvature and Betti Numbers. (AM-32)
- Vector fields and Ricci curvature
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