1
Q
Definition
Sesquilinear inner product.
A
2
Q
Lemma 8
Extension of linear isometry in R…
A
3
Q
Definition
Direct sum.
A
4
Q
Definition
Orthogonal complement.
A
5
Q
Lemma 9
If L is isometry and L(W) = W then…
A
6
Q
Corollary 3
L an isometry of R and L(W) = W. Matrix of L=
A
MA243 Geometry
flashcards
Decks in class (30)
# Cards
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1. Introduction2
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2. Euclidean Metric3
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3. Isometries.6
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4. Colinearity5
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5. Isometries as Linear Maps5
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6. Motion Group5
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7. Complex Linear Algebra6
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8. Normal Form Theorem2
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9. Reflections13
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10. Spherical Geometry6
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11. Comparisons of Lines in R3 and S21
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12. Main Formula for Spherical Geometry2
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13. Spherical Isometries4
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14. Spherical Triangles3
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15. Hyperbolic Geometry7
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16. Lorentz Group4
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17. Hyperbolic Lines5
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19. Intersection of Planes with H^24
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20. Sketch of Isomorphism between Isom and O+5
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21. Triangle Inequality for H^26
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22. Projective Space2
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23. The Projective Plane5
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24. Projective Transformations and Frame of Reference6
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25. Projective Dimension Formula2
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26. Projective Frame of Reference and Linear Maps1
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27. Cross Ratio3
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28. Pappus' Hexagon Theorem2
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29. Axiomatic Projective Geometry2
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30. Finite Axiomatic Projective Geometry2
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Exercises and Exams34
