Course : P-11.differential Geometry
Subject : Mathematics
No. of Modules : 70
| Sr. No. | Title | E-Text | Video | URL | Metadata |
|---|---|---|---|---|---|
| 1 | M-01. introduction of tensors: contravariant and covariant vectors | - | Click Here | ||
| 2 | M-02. introduction of tensors: higher order tensors | - | Click Here | ||
| 3 | M-09. geometry of space curve: intrinsic derivative and curvilinear coordinate system in space | - | Click Here | ||
| 4 | M-10. geometry of space curve: serret-frenet formulii for space curve | - | Click Here | ||
| 5 | M-06. riemannian space: applications of fundamental metric tensors | - | Click Here | ||
| 6 | M-04. algebra of tensors: symmetricness of tensors and quotient law | - | Click Here | ||
| 7 | M-11. geometry of space curve: some particular type of space curves | - | Click Here | ||
| 8 | M-03. algebra of tensors: algebraic operations on tensors | - | Click Here | ||
| 9 | M-08. derivatives of tensors: covariant differentiation | - | Click Here | ||
| 10 | M-05. riemannian space: fundamental metric tensor | - | Click Here | ||
| 11 | M-07. derivatives of tensors: christoffel symbols | - | Click Here | ||
| 12 | M-19. surface embedded in space: gauss and weingarten formulas and third fundamental form of a surface | - | Click Here | ||
| 13 | M-13. surface: parametric representation of surfaces and first fundamental form | - | Click Here | ||
| 14 | M-18. surface embedded in space: second fundamental form and its applications | - | Click Here | ||
| 15 | M-15. curvature on surface: parallel vector field and gaussian curvature | - | Click Here | ||
| 16 | M-20. surface embedded in space: gauss and codazzi- mainardi equations | - | Click Here | ||
| 17 | M-17. curvature on surface: intrinsic geometry of curves on surface-2 | - | Click Here | ||
| 18 | M-16. curvature on surface: intrinsic geometry of curves on surface-1 | - | Click Here | ||
| 19 | M-12. geometry of space curve: fundamental theorem for space curve | - | Click Here | ||
| 20 | M-14. surface: geodesic on a surface | - | Click Here | ||
| 21 | M-24.asymptotic lines, euler's theorem on normal curvature and dupin indicatrix | - | Click Here | ||
| 22 | M-21.meusnier's theorem and theorema eggregium of gauss | - | Click Here | ||
| 23 | M-27.gauss-bonnet theorem with some applications (continued) | - | Click Here | ||
| 24 | M-28.applications of tensors in physical laws and equations | - | Click Here | ||
| 25 | M-23.lines of curvature and rodrigue's formula | - | Click Here | ||
| 26 | M-26.gauss-bonnet theorem with some applications | - | Click Here | ||
| 27 | M-25.problems on surface embedded in space | - | Click Here | ||
| 28 | M-29.mappings on surfaces and spaces | - | Click Here | ||
| 29 | M-22.principal curvature | - | Click Here | ||
| 30 | M-34.applications of differential geometry in general theory of relativity and cosmology (continued) | - | Click Here | ||
| 31 | M-35.applications of differential geometry in general theory of relativity and cosmology (continued) | - | Click Here | ||
| 32 | M-33.applications of differential geometry in general theory of relativity and cosmology | - | Click Here | ||
| 33 | M-32.the inside geometry of the special theory of relativity | - | Click Here | ||
| 34 | M-30.problems on surface embedded in space (continued) | - | Click Here | ||
| 35 | M-31.mappings on surfaces and spaces (continued) | - | Click Here | ||
| 36 | M-01. introduction of tensors: contravariant and covariant vectors | - | Click Here | ||
| 37 | M-06. riemannian space: applications of fundamental metric tensors | - | Click Here | ||
| 38 | M-04. algebra of tensors: symmetricness of tensors and quotient law | - | Click Here | ||
| 39 | M-03. algebra of tensors: algebraic operations on tensors | - | Click Here | ||
| 40 | M-02. introduction of tensors: higher order tensors | - | Click Here | ||
| 41 | M-05. riemannian space: fundamental metric tensor | - | Click Here | ||
| 42 | M-09. geometry of space curve: intrinsic derivative and curvilinear coordinate system in space | - | Click Here | ||
| 43 | M-13. surface: parametric representation of surfaces and first fundamental form | - | Click Here | ||
| 44 | M-15. curvature on surface: parallel vector field and gaussian curvature | - | Click Here | ||
| 45 | M-10. geometry of space curve: serret-frenet formulii for space curve | - | Click Here | ||
| 46 | M-11. geometry of space curve: some particular type of space curves | - | Click Here | ||
| 47 | M-12. geometry of space curve: fundamental theorem for space curve | - | Click Here | ||
| 48 | M-08. derivatives of tensors: covariant differentiation | - | Click Here | ||
| 49 | M-07. derivatives of tensors: christoffel symbols | - | Click Here | ||
| 50 | M-14. surface: geodesic on a surface | - | Click Here | ||
| 51 | M-24.asymptotic lines, euler's theorem on normal curvature and dupin indicatrix | - | Click Here | ||
| 52 | M-19. surface embedded in space: gauss and weingarten formulas and third fundamental form of a surface | - | Click Here | ||
| 53 | M-21.meusnier's theorem and theorema eggregium of gauss | - | Click Here | ||
| 54 | M-23.lines of curvature and rodrigue's formula | - | Click Here | ||
| 55 | M-18. surface embedded in space: second fundamental form and its applications | - | Click Here | ||
| 56 | M-20. surface embedded in space: gauss and codazzi- mainardi equations | - | Click Here | ||
| 57 | M-22.principal curvature | - | Click Here | ||
| 58 | M-17. curvature on surface: intrinsic geometry of curves on surface-2 | - | Click Here | ||
| 59 | M-16. curvature on surface: intrinsic geometry of curves on surface-1 | - | Click Here | ||
| 60 | M-33.applications of differential geometry in general theory of relativity and cosmology | - | Click Here | ||
| 61 | M-27.gauss-bonnet theorem with some applications (continued) | - | Click Here | ||
| 62 | M-28.applications of tensors in physical laws and equations | - | Click Here | ||
| 63 | M-32.the inside geometry of the special theory of relativity | - | Click Here | ||
| 64 | M-30.problems on surface embedded in space (continued) | - | Click Here | ||
| 65 | M-31.mappings on surfaces and spaces (continued) | - | Click Here | ||
| 66 | M-26.gauss-bonnet theorem with some applications | - | Click Here | ||
| 67 | M-25.problems on surface embedded in space | - | Click Here | ||
| 68 | M-29.mappings on surfaces and spaces | - | Click Here | ||
| 69 | M-34.applications of differential geometry in general theory of relativity and cosmology (continued) | - | Click Here | ||
| 70 | M-35.applications of differential geometry in general theory of relativity and cosmology (continued) | - | Click Here |
