Géométrie Riemannienne / Riemannsche Geometrie / Riemannian Geometry

  • Teaching

    Details

    Faculty Faculty of Science and Medicine
    Domain Mathematics
    Code UE-SMA.04206
    Languages French , German, English
    Type of lesson Lecture
    Level Master
    Semester SP-2020

    Title

    French Géométrie Riemannienne
    German Riemannsche Geometrie
    English Riemannian Geometry

    Schedules and rooms

    Summary schedule Monday 10:15 - 12:00, Hebdomadaire (Spring semester)
    Tuesday 10:15 - 12:00, Hebdomadaire (Spring semester)
    Contact's hours
    		56

    Teaching

    Responsibles
    • Kellerhals Ruth
    Teachers
    • Kellerhals Ruth
    Description

    The course is an introduction to Riemannian geometry which treats curved spaces generalising Euclidean geometry. Basic notions such as covariant derivative, connection of Levi-Civita, curvature tensor, geodesic, the exponential map etc. will be treated.
    Global properties of Riemannian manifolds and the influence of curvature to their topological behavior will be studied. Basic knowledge about differentiable manifolds is required.
    Training objectives Basic knowledge in Riemannian geometry.
    Comments The course language is French but can
    be changed into English or German upon request.
    Softskills No
    Off field No
    BeNeFri Yes
    Mobility Yes
    UniPop No
  • Dates and rooms
    Date Hour Type of lesson Place
    17.02.2020 10:15 - 12:00 Cours PER 07, Room 1.309
    18.02.2020 10:15 - 12:00 Cours PER 08, Room 2.52
    24.02.2020 10:15 - 12:00 Cours PER 07, Room 1.309
    25.02.2020 10:15 - 12:00 Cours PER 08, Room 2.52
    02.03.2020 10:15 - 12:00 Cours PER 07, Room 1.309
    03.03.2020 10:15 - 12:00 Cours PER 08, Room 2.52
    09.03.2020 10:15 - 12:00 Cours PER 07, Room 1.309
    10.03.2020 10:15 - 12:00 Cours PER 08, Room 2.52
    16.03.2020 10:15 - 12:00 Cours PER 07, Room 1.309
    17.03.2020 10:15 - 12:00 Cours PER 08, Room 2.52
    23.03.2020 10:15 - 12:00 Cours PER 07, Room 1.309
    24.03.2020 10:15 - 12:00 Cours PER 08, Room 2.52
    30.03.2020 10:15 - 12:00 Cours PER 07, Room 1.309
    31.03.2020 10:15 - 12:00 Cours PER 08, Room 2.52
    06.04.2020 10:15 - 12:00 Cours PER 07, Room 1.309
    07.04.2020 10:15 - 12:00 Cours PER 08, Room 2.52
    20.04.2020 10:15 - 12:00 Cours PER 07, Room 1.309
    21.04.2020 10:15 - 12:00 Cours PER 08, Room 2.52
    27.04.2020 10:15 - 12:00 Cours PER 07, Room 1.309
    28.04.2020 10:15 - 12:00 Cours PER 08, Room 2.52
    04.05.2020 10:15 - 12:00 Cours PER 07, Room 1.309
    05.05.2020 10:15 - 12:00 Cours PER 08, Room 2.52
    11.05.2020 10:15 - 12:00 Cours PER 07, Room 1.309
    12.05.2020 10:15 - 12:00 Cours PER 08, Room 2.52
    18.05.2020 10:15 - 12:00 Cours PER 07, Room 1.309
    19.05.2020 10:15 - 12:00 Cours PER 08, Room 2.52
    25.05.2020 10:15 - 12:00 Cours PER 07, Room 1.309
    26.05.2020 10:15 - 12:00 Cours PER 08, Room 2.52
  • Assessments methods

    Oral exam - SP-2020, Session d'été 2020

    Assessments methods By rating
    Descriptions of Exams

    COVID-19 - SS2020 / Exam session SUMMER 2020

    Oral Exam with physical presence

    Duration: 20' or 30' minutes

     

    mündliche Prüfung

    Oral exam - SP-2020, Autumn Session 2020

    Date 07.09.2020 00:00 - 00:00
    Assessments methods By rating
    Descriptions of Exams

    COVID-19 - SS2020 / Exam session SUMMER 2020

    Oral Exam with physical presence

    Duration: 20' or 30' minutes

     

    mündliche Prüfung
  • Assignment
    Valid for the following curricula:
    Additional Courses in Sciences
    Version: ens_compl_sciences
    Paquet indépendant des branches > Specialized courses in Mathematics (Master level)
    Additional programme requirements for PhD studies [PRE-DOC]
    Version: 2020_1/v_01
    Additional programme requirements for PhD studies (Faculty of Science and Medicine) > Specialized courses in Mathematics (Master level)
    MSc in Mathematics [MA] 90
    Version: 2022_1/V_01
    MSc in Mathematics, lectures and seminars (from AS2020 on) > MSc-MA, lectures (from AS2018 on)
    Mathematics [3e cycle]
    Version: 2015_1/V_01
    Continuing education > Specialized courses in Mathematics (Master level)
    Mathematics [POST-DOC]
    Version: 2015_1/V_01
    Continuing education > Specialized courses in Mathematics (Master level)