1. ## urgent-differential geometry

$\kappa_\sigma$ depends only a $\sigma$(not on generators)

i choose a new basis to solve the question and did the calculus using the formula of sectional curvature but at the exam teacher gave me just half of the total point,can any body do the right solution please?
i want to wright my solution here but i am not good at latex sorry.

2. just answer my this question please i really confused i am trying to go to the solution from this paper, i solved this by choosing X'=aX+bY and Y'=cX+dY and by the given formula of R on this paper when i do the inner product <X',Y'>=<(aX,bY),(cX,dY)> is this true just check this i was sleeping when i took linear algebra

3. ## this is my solution

4. what ever i found what is my mistake,so people thanks for your help which i haven't not seen for 2 days,my question had been seen 72 times but no answer thanks anyway i wonder what do you learn in the university?

5. I don't see any mistakes, but your calculations are unnecessarily long.