Spin\(^{c}\) geometry of Kähler manifolds and the Hodge Laplacian on minimal Lagrangian sub\-manifolds

DOI10.1007/s00209-006-0936-8zbMath1101.53029OpenAlexW2155576821MaRDI QIDQ2502227

Oussama Hijazi, Sebastían Montiel, Francisco Urbano

Publication date: 12 September 2006

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-006-0936-8

zbMATH Keywords

Dirac operatorMorse indexCalabi-Yau manifoldhyper-Kähler structuretotally real submanifoldspinor fieldHodge LaplacianJacobi operatorKähler-Einstein manifoldcomplex contact structureMaslov covering

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spin and Spin({}^c) geometry (53C27) Contact manifolds (general theory) (53D10) Lagrangian submanifolds; Maslov index (53D12)

Related Items (11)

GEOMETRY OF SPIN ANDSPIN^cSTRUCTURES IN THE M-THEORY PARTITION FUNCTION ⋮ The twisted \(\mathrm{Spin}^c\) Dirac operator on Kähler submanifolds of the complex projective space ⋮ Complex and Lagrangian surfaces of the complex projective plane via Kählerian Killing \(\mathrm{Spin}^c\) spinors ⋮ Homogeneous contact manifolds and resolutions of Calabi-Yau cones ⋮ Totally umbilical hypersurfaces of Spinc manifolds carrying special spinor fields ⋮ THE ENERGY-MOMENTUM TENSOR ON Spin^c MANIFOLDS ⋮ Rigidity results for Riemannian spin\(^c\) manifolds with foliated boundary ⋮ Hypersurfaces of \(\mathrm{Spin}^{c}\) manifolds and Lawson type correspondence ⋮ Complex generalized Killing spinors on Riemannian \(\mathrm{Spin}^c\) manifolds ⋮ Spinorial characterizations of surfaces into three-dimensional homogeneous manifolds ⋮ Characterization of hypersurfaces in four-dimensional product spaces via two different \(\text{Spin}^{\text{c}}\) structures

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