6533b82efe1ef96bd129452b

RESEARCH PRODUCT

THE HOROSPHERICAL GEOMETRY OF SUBMANIFOLDS IN HYPERBOLIC SPACE

Masatomo TakahashiShyuichi IzumiyaDonghe PeiM. C. Romero Fuster

subject

Hyperbolic groupGeneral MathematicsHyperbolic spaceMathematical analysisHyperbolic 3-manifoldHyperbolic manifoldUltraparallel theoremGeometryHyperbolic motionMathematics::Geometric TopologyRelatively hyperbolic groupMathematics::Differential GeometryMathematics::Symplectic GeometryHyperbolic triangleMathematics

description

Some geometrical properties associated to the contact of submanifolds with hyperhorospheres in hyperbolic -space are studied as an application of the theory of Legendrian singularities.

https://doi.org/10.1112/s0024610705006447