Information Package / Course Catalogue
Minimal Submanifolds
Course Code: MTK516
Course Type: Area Elective
Couse Group: Second Cycle (Master's Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 6
Objectives of the Course

Our aim is to give some related topics in minimal submanifold.

Course Content

Differentiable Manifolds,second fundamental form,mean curvature,minimal submanifolds on the sphere,rigidity teorems, Gauss map,minimal hypersurfaces

Name of Lecturer(s)
Learning Outcomes
1.To be able to define topolojical and differentiable manifold
2.To be able to define minimal submanifolds on the Euclidean space
3.To be able to comprehend minimal submanifolds on the sphere
4.To be able to define minimal hypersurfaces
5.To be able to write Gauss map
Recommended or Required Reading
1.Xin,Yuanling, Minimal Submanifolds and Related topics, World Scientific
Weekly Detailed Course Contents
Week 1 - Theoretical
Define manifold
Week 2 - Theoretical
Define topologies of submanifolds
Week 3 - Theoretical
Second fundamental form
Week 4 - Theoretical
The mean curvature
Week 5 - Theoretical
Minimal submanifold s in Euclidean spaces
Week 6 - Theoretical
Minimal submanifold s in the sphere
Week 7 - Theoretical
Some Examples of minimal submanifolds
Week 8 - Theoretical
Solve the problems about what he has learnt
Week 9 - Theoretical
Rigidity theorems
Week 10 - Theoretical
Gauss map
Week 11 - Theoretical
The Weierstrass representation
Week 12 - Theoretical
Minimal hypersurfaces
Week 13 - Theoretical
Minimal hypersurfaces
Week 14 - Theoretical
Review of semester
Assessment Methods and Criteria
Type of AssessmentCountPercent
Assignment1%5
Quiz1%10
Midterm Examination1%15
Final Examination1%70
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory141356
Assignment1066
Individual Work140228
Quiz110111
Midterm Examination120222
Final Examination125227
TOTAL WORKLOAD (hours)150
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
PÇ-6
PÇ-7
PÇ-8
PÇ-9
PÇ-10
PÇ-11
PÇ-12
PÇ-13
PÇ-14
PÇ-15
OÇ-1
5
2
5
1
1
3
4
OÇ-2
5
2
5
1
1
3
4
OÇ-3
5
2
5
1
1
3
4
OÇ-4
5
2
5
1
1
3
4
OÇ-5
5
2
5
1
1
3
4
Adnan Menderes University - Information Package / Course Catalogue
2026