1
$\begingroup$

Let $R^{1,2}$ be the Minkowski 3-space, I would like to know any references about minimal (maximal) orientable Lorentzian surfaces in $\mathbb{R}^{1,2}$, including examples and maybe general theories, say something like Weierstrass representation. Here by minimal (maximal) I simply mean that the Lorentzian surface, as a submanifold of $\mathbb{R}^{1,2}$, has mean curvature 0.

Grazie!

$\endgroup$
1
  • 1
    $\begingroup$ The names that come to mind are Lopez and Ros; it has been a while. ugr.es/~aros $\endgroup$
    – Will Jagy
    Jan 5, 2015 at 19:11

2 Answers 2

2
$\begingroup$

These two books might be useful:

http://books.google.be/books/about/An_Introduction_to_Lorentz_Surfaces.html?id=1S_YJ39DSdcC&redir_esc=y

http://www.worldscientific.com/worldscibooks/10.1142/7542

(the Weierstrass representation is treated in detail in the second one)

$\endgroup$
0
1
$\begingroup$

Think we have a winner:

http://www.ugr.es/~fjlopez/_private/rilo.pdf

I believe I was thinking of Rafael Lopez; I think he and Ros published things commenting on my dissertation, or similar to it anyway.

$\endgroup$
2
  • $\begingroup$ Thanks for your reference! But it seems that the maximal surfaces he considered in this paper are Riemannian instead of Lorentzian. $\endgroup$
    – Piojo
    Jan 5, 2015 at 19:21
  • $\begingroup$ @Piojo, quite possible. Meanwhile, I am having trouble finding a web page for the Granada Department of Geometry and Topology, which is clearly separate from the Department of Applied Mathematics that I found. $\endgroup$
    – Will Jagy
    Jan 5, 2015 at 19:25

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.