SOBOLEV METRICS ON SHAPE SPACE, II: WEIGHTED SOBOLEV METRICS AND ALMOST LOCAL METRICS MARTIN BAUER, PHILIPP HARMS, AND PETER W. MICHOR Abstract. In continuation of [7] we discuss metrics of the form

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• Surfaces
• Lie groups
• Riemannian geometry
• Riemannian manifold
• Exponential map
• Orbifold
• Gaussian curvature
• Differential geometry of surfaces
• Oscillator semigroup
• Mathematical analysis
• Geometry
• Differential geometry