Skip to main content
MathOverflow

Return to Question

replaced http://mathoverflow.net/ with https://mathoverflow.net/
Source Link
Community Bot
Community Bot
  • 1
  • 2
  • 3

This is closed related to the question asked herehere. I wonder if there is any progress on Problem 13 from the "Problem Section" in Schoen and Yau, page 281, problem 13, which asks: Let $M_1$ and $M_2$ be compact Einstein manifolds with negative curvature. Suppose that $\pi_1(M_1)=\pi_1(M_2)$ and $\dim M_1\geq 3$. Is $M_1$ isometric to $M_2$?

This is closed related to the question asked here. I wonder if there is any progress on Problem 13 from the "Problem Section" in Schoen and Yau, page 281, problem 13, which asks: Let $M_1$ and $M_2$ be compact Einstein manifolds with negative curvature. Suppose that $\pi_1(M_1)=\pi_1(M_2)$ and $\dim M_1\geq 3$. Is $M_1$ isometric to $M_2$?

This is closed related to the question asked here. I wonder if there is any progress on Problem 13 from the "Problem Section" in Schoen and Yau, page 281, problem 13, which asks: Let $M_1$ and $M_2$ be compact Einstein manifolds with negative curvature. Suppose that $\pi_1(M_1)=\pi_1(M_2)$ and $\dim M_1\geq 3$. Is $M_1$ isometric to $M_2$?

Source Link
Paul
Paul
  • 501
  • 1
  • 6
  • 18

Is there any progress on Problem 13 (from Schoen and Yau)?

This is closed related to the question asked here. I wonder if there is any progress on Problem 13 from the "Problem Section" in Schoen and Yau, page 281, problem 13, which asks: Let $M_1$ and $M_2$ be compact Einstein manifolds with negative curvature. Suppose that $\pi_1(M_1)=\pi_1(M_2)$ and $\dim M_1\geq 3$. Is $M_1$ isometric to $M_2$?