Differential Manifolds II

Course Information
TitleΔΙΑΦΟΡΙΣΙΜΕΣ ΠΟΛΛΑΠΛΟΤΗΤΕΣ ΙΙ / Differential Manifolds II
Code0333
FacultySciences
SchoolMathematics
Cycle / Level1st / Undergraduate
Teaching PeriodSpring
CoordinatorFani Petalidou
CommonNo
StatusActive
Course ID40000471

Programme of Study: UPS of School of Mathematics (2014-today)

Registered students: 9
OrientationAttendance TypeSemesterYearECTS
CoreElective Courses belonging to the selected specialization845.5

Class Information
Academic Year2018 – 2019
Class PeriodSpring
Faculty Instructors
Weekly Hours3
Class ID
600121488
Type of the Course
  • Scientific Area
Course Category
Knowledge Deepening / Consolidation
Mode of Delivery
  • Face to face
Digital Course Content
Language of Instruction
  • Greek (Instruction, Examination)
  • English (Instruction, Examination)
  • French (Instruction, Examination)
Prerequisites
Required Courses
  • 0131 Group Theory
  • 0303 Classical Differential Geometry I
  • 0304 Differential Manifolds I
  • 0201 Calculus I
  • 0202 Calculus II
  • 0203 Calculus III
  • 0205 Calculus IV
  • 0206 Differential Equations
  • 0233 General Topology
  • 0235 Partial Differential Equations
  • 0108 Linear Algebra
Learning Outcomes
Acquisition and deepening in the basic concepts of the theory of smooth manifolds and on introductory concepts of Riemannian geometry.
General Competences
  • Apply knowledge in practice
  • Work autonomously
  • Work in teams
Course Content (Syllabus)
Elements from the theory of smooth manifolds. Riemannian manifolds. Linear connections. Geodesics and curvature. Sectional curvature. Jacobi fields and second fundamental form.
Educational Material Types
  • Notes
  • Book
Course Organization
ActivitiesWorkloadECTSIndividualTeamworkErasmus
Lectures1304.3
Seminars
Reading Assigment321.1
Exams30.1
Total1655.5
Student Assessment
Description
Presentation, Written Examination
Student Assessment methods
  • Oral Exams (Formative)
Bibliography
Additional bibliography for study
1. John M. Lee, Riemannian manifolds. An introduction to curvature, GTM 176, Springer-Verlag 1997. 2. Loring W. Tu, An introduction to Manifolds, Universitext, Springer 2011.
Last Update
14-05-2019