# matgaio

Rio de Janeiro, Brazil

 Mar 22 awarded Yearling Mar 22 awarded Yearling Nov 11 comment Usefulness of Frechet versus Gateaux differentiability or something in between.Hi! May I ask you about the explicit example on the "unfortunately" fact? Or some references? Thank you! Aug 26 asked Geodesics of Sasaki metric Aug 18 asked Normal fields of geodesic spheres Aug 5 comment Normal curvature of geodesic spheresDear @NormalHuman, this is a nice example, thank you. I can't see if it is possible for this example to be the universal covering of a compact Riemannian manifold. If it is not, perhaps I can have some hope. I'm interested in investigate this Lipschitz constant in universal coverings of compact Riemannian manifolds without conjugate points. Aug 4 comment Normal curvature of geodesic spheresHi, @AntonPetrunin, indeed. Allow me to go a little further on my question. I see that if I fix the radius $R$, the normal vector is Lipschitz as you pointed out, and it appears to me that the Lipschitz constant $L$ will depend on $R$. Letting the radius $R>1$ be arbitrary large (in the abscense of conjugate points), do you have any feeling on if it is possible to have some upper bound for the Lipschitz constants? Aug 4 comment Normal Variation on ManifoldsDear @AntonPetrunin, I'm interested in this sort of questions too. In particular, I've asked (math.stackexchange.com/questions/1383511/…) a related question in abscense of conjugate points. Would you mind giving me some references? Thanks a lot! Aug 3 revised Normal curvature of geodesic spheresedited tags Aug 3 asked Normal curvature of geodesic spheres Feb 24 comment a.e.-defined integrable functions on $X$.I think the answer is the following: let us denote the domain of the function $f$ by $D(f)\subset X$. The expression "a.e.-defined integrable functions on $X$" means that $\mu\big(X-D(f)\big)=0$ and $f$ is integrable in $D(f)$ Feb 13 asked Landsberg angle Jan 18 comment Bi-asymptotic geodesics in Visibility manifoldsThanks again. Our conversations on the subject have opened my eyes for several points on this theory. Jan 18 accepted Bi-asymptotic geodesics in Visibility manifolds Jan 13 comment Bi-asymptotic geodesics in Visibility manifoldsI see. It doesn't help. I can consider just $\mathbb{H}^2\times\mathbb{R}$. Jan 13 comment Bi-asymptotic geodesics in Visibility manifoldsI have in addition the abscense of conjugate points, if it helps... Jan 13 revised Bi-asymptotic geodesics in Visibility manifoldsadded 40 characters in body Jan 13 comment Bi-asymptotic geodesics in Visibility manifoldsYes, you are completely right. I have wrote (and after I deleted it) the non-compact condition, but I thought it was perhaps unnecessary to comment. I will put this there to make more sense to the question. Thanks again! Jan 13 asked Bi-asymptotic geodesics in Visibility manifolds Oct 29 awarded Supporter