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    Quick Facts

    Medium Of InstructionsMode Of LearningMode Of Delivery
    EnglishSelf StudyVideo and Text Based

    Courses and Certificate Fees

    Fees InformationsCertificate AvailabilityCertificate Providing Authority
    INR 1000yesIIT Kanpur

    The Syllabus

    • Hyperbolic Geometry
    • Models of Hyperbolic space
    • Upper half plane and Unit Disc with Poincaré metric
    • Hyperbolic Inner Product, Geodesics 
    • Isometry Groups 
    • Classification of Isometries
    • Area of Triangles 
    • Trignometric Identities.

    • Properly discontinous action
    • Cocompact action
    • Fuchsian Group
    • Covering Space
    • Fundamental Region
    • Tesellation
    • Algebraic properties of Fuchsian Group
    • Hyperbolic surfaces
    • Poincaré’s Theorem (Statement Only) Closed curves and geodesics on Hyperbolic Surfaces

    • Slim and Thin triangles
    • Hyperbolic metric space
    • Exponential Divergence
    • Stability of Quasi-geodesics 
    • Hyperbolic groups and its properties

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