Géométrie Riemannienne / Riemannsche Geometrie / Riemannian Geometry

  • Teaching

    Details

    Faculty Faculty of Science and Medicine
    Domain Mathematics
    Code UE-SMA.03206
    Languages English , French, German
    Type of lesson Lecture
    Level Bachelor
    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

     

    mündliches Examen

    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

     

    mündliches Examen

    Oral exam - SA-2020, Session d'hiver 2021

    Date 17.02.2021 09:30 - 10:40
    Assessments methods By rating
    Descriptions of Exams

    COVID-19 - SS2020 / Exam session SUMMER 2020

    Oral Exam with physical presence

    Duration: 20' or 30' minutes

     

    mündliches Examen
  • Assignment
    Valid for the following curricula:
    Additional Courses in Sciences
    Version: ens_compl_sciences
    Paquet indépendant des branches > Advanced courses in Mathematics (Bachelor level)
    Additional Programme Requirements to the MSc in Computer Science [MA]
    Version: 2022_1/V_01
    Supplement to the MSc in Computer science > Advanced courses in Mathematics (Bachelor level)
    Additional Programme Requirements to the MSc in Mathematics [MA]
    Version: 2022_1/V_01
    Supplement to the MSc in Mathematics > Advanced courses in Mathematics (Bachelor level)
    Additional TDHSE programme in Mathematics
    Version: 2022_1/V_01
    Additional TDHSE Programme Requirements for Mathematics 60 or +30 > Programme 60 or +30 > Additional Programme Requirements to Mathematics 60 > Additional TDHSE programme for Mathematics 60 (from AS2018 on)
    Additional TDHSE Programme Requirements for Mathematics 60 or +30 > Programme 60 or +30 > Additional Programme Requirements to Mathematics +30 > Additional TDHSE programme for Mathematics +30 (from AS2018 on)
    Mathematics 120
    Version: 2022_1/V_01
    BSc in Mathematics, Major, 2nd-3rd year > Mathematics, Major, 2nd and 3rd years, elective courses (from AS2018 on)
    Mathematics 30 for Mathematicians (MATH 30MA)
    Version: 2022_1/V_01
    Mathematics for mathematicians (MATH 30MA), minor 30 (from AS2020 on) > Mathematics, minor MATH 30MA, elective courses (from AS2018 on)
    Mathematics 30 for Physicists (MATH 30PH)
    Version: 2022_1/V_01
    Mathematics for physicists (MATH 30PH), minor 30 (from AS2020 on) > Mathematics, minor MATH 30PH, elective courses (from AS2018 on)
    Mathematics 60 (MATH 60)
    Version: 2022_1/V_01
    Mathematics (MATH 60), minor 60 (from AS2020 on) > Mathematics, minor MATH60, elective courses (from AS2018 on)
    Mathematics [3e cycle]
    Version: 2015_1/V_01
    Continuing education > Advanced courses in Mathematics (Bachelor level)
    Mathematics [POST-DOC]
    Version: 2015_1/V_01
    Continuing education > Advanced courses in Mathematics (Bachelor level)
    Pre-Master-Programme to the MSc in Mathematics [PRE-MA]
    Version: 2022_1/V_01
    Prerequisite to the MSc in Mathematics > Advanced courses in Mathematics (Bachelor level)