Sameh Shenawy
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 Apr18 answered $\frac{d^2y}{dt^2}+4y=t\sin(2t)$'s particular solution Mar15 comment Is there a charaterization of riemannian product manifolds? @RyanBudney Thank you. Mar15 comment Is there a charaterization of riemannian product manifolds? Thank you for your interesting answer. Mar15 accepted Is there a charaterization of riemannian product manifolds? Mar11 asked Is there a charaterization of riemannian product manifolds? Feb10 comment Find the surface area obtained by rotating $y=1+3x^2$ from $x=0$ to $x=2$ about the y-axis. Yes you are right Feb2 awarded Benefactor Feb2 comment Hessian of a function on Riemannian manifolds your answer is still the best incomplete one Feb2 accepted Hessian of a function on Riemannian manifolds Jan30 comment Hessian of a function on Riemannian manifolds Your answer is still the best and I really hope to accept it. No. 2 answer is done. No. 2 is not. Could you prove or disprove it in the non-compact case? Jan28 comment Hessian of a function on Riemannian manifolds Thank you Jack. I think this is good for compact case. I hope you get sufficient and necessary conditions in non-compact case. On the other hand, would you kindly give me a similar proof of 2 without considering $f$ as an eigenfunction of the laplacian? Jan25 awarded Promoter Jan25 comment Hessian of a function on Riemannian manifolds Thank you for patience and efficiency. The problem is still unsolved. Jan25 comment Hessian of a function on Riemannian manifolds But your conclusion based on the assumption that $f$ is an eigenfunction of the Laplacian. So, you may rephrase your conclusion as "there is no such $h$ for a function f satisfying $\Delta f= \lambda f$", am I right? Jan25 revised Hessian of a function on Riemannian manifolds added 89 characters in body Jan25 comment Hessian of a function on Riemannian manifolds So, do you think that there is no such $h$ in item 1 even in compact case? Jan24 comment Hessian of a function on Riemannian manifolds Thank you for your nice answer. I will try to play the game but kindly let me contact you in failure case. Jan23 comment Hessian of a function on Riemannian manifolds @studiosus , Would you kindly clarify this comment as an answer specially part one(f is a non constant eigenfunction ...). If not, a good simple reference is enough. thanks in advance. Jan22 asked Hessian of a function on Riemannian manifolds Dec20 awarded Yearling