Local rigidity in quaternionic hyperbolic space
classification
🧮 math.DG
keywords
hyperbolicquaternioniclocalplanerigiditycomplexdeformationsflexible
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In this note, we study deformations of quaternionic hyperbolic lattices in larger quaternionic hyperbolic spaces and prove local rigidity results. On the other hand, surface groups are shown to be more flexible in quaternionic hyperbolic plane than in complex hyperbolic plane.
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