Recent content by aboutammam

Hello I have a question if it possible, Let X a tangantial vector field of a riemannian manifolds M, and f a smooth function define on M. Is it true that X(exp-f)=-exp(-f).X(f) And div( exp(-f).X)=exp(-f)〈gradf, X〉+exp(-f)div(X)? Thank you

no answer!

Hi, I am a PhD student, I work on transversal submanifolds. I want to know if someone has an example of application of transversality in physics or ingenning or in any other area, I hear that there is an application in construction of plans but I didn't find it. Thank you in advance.

But my Idea is to intersection between a totally geodesic submanifold and another one, I think my example is the simplest one.

Hi every body I study transversal submanifolds,I have an example but I didn't find some quatities. In Rn+p we consider the submanifold N=Rn+1, we know that P is tottaly geodesic and another manifolds M which is the sphere of dimension n+1 of radius r and centrer p0. then the transversal...

Thakno yu for your example, it is very helpful fr me cause it gives for me an idea how transversality is used.

thanks for these explanations, I sdee that Transversality is one of the key in differenial topology, this why we have this quote.

Thank you for your help, if you have any response from professor H. E. Winkelnkemper, please inform me. Keep in touch.

Hi everybody I seen in a book a quote of H. E. Winkelnkemper "Transversality unlocks the secrets of the manifold.". Can someone explain to me this citation and why transversality has all this importance in geometry? thank you in advance.