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Géométrie différentielle. --- Geometry, Differential. --- Riemann, Variétés de. --- Riemannian manifolds.

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Riemannian manifolds. --- Topological degree. --- Hypersurfaces. --- Curvature. --- Riemann, Variétés de. --- Degré topologique. --- Courbure.

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Differential geometry. Global analysis --- Minimal surfaces --- Riemannian manifolds --- Surfaces minimales --- Riemann, Variétés de --- Manifolds, Riemannian --- Riemannian space --- Space, Riemannian --- Geometry, Differential --- Manifolds (Mathematics) --- Surfaces, Minimal --- Maxima and minima --- Minimal surfaces. --- Riemannian manifolds. --- Surfaces minimales. --- Riemann, Variétés de.

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"Manifolds with fibered cusps are a class of complete non-compact Riemannian manifolds including many examples of locally symmetric spaces of rank one. We study the spectrum of the Hodge Laplacian with coefficients in a flat bundle on a closed manifold undergoing degeneration to a manifold with fibered cusps. We obtain precise asymptotics for the resolvent, the heat kernel, and the determinant of the Laplacian. Using these asymptotics we obtain a topological description of the analytic torsion on a manifold with fibered cusps in terms of the R-torsion of the underlying manifold with boundary"--

Riemannian manifolds. --- Symmetric spaces. --- Torsion theory (Algebra) --- Riemann, Variétés de --- Espaces symétriques --- Torsion, Théorie de la (algèbre) --- Resolvents (Mathematics) --- Heat equation. --- Kernel functions. --- Surfaces, Algebraic --- Surgery (Topology) --- Degenerations.

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Riemannian manifolds --- Global differential geometry --- Orbifolds --- Three-manifolds (Topology) --- Ricci, flow --- Riemann, Variétés de --- Géométrie différentielle globale --- Orbivariétés --- Variétés topologiques à 3 dimensions --- Ricci, Flot de --- Riemann, Variétés de. --- Géométrie différentielle globale. --- Orbivariétés. --- Variétés topologiques à 3 dimensions. --- Ricci, Flot de. --- Ricci flow.