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I have found an answer to my question on Mathoverflow.net herehere. @Raziel gave the reference

H. L. Royden, MR 948079 Comparison theorems for the matrix Riccati equation, Comm. Pure Appl. Math. 41 (1988), no. 5, 739--746.

where I can find a comparison theorem for eigenvalues of $S$ but not for eigenvalues of $\nabla\nabla \eta_\Sigma$.

I keep the question and the answer on Mathoverflow since it might be useful for someone else.

I have found an answer to my question on Mathoverflow.net here. @Raziel gave the reference

H. L. Royden, MR 948079 Comparison theorems for the matrix Riccati equation, Comm. Pure Appl. Math. 41 (1988), no. 5, 739--746.

where I can find a comparison theorem for eigenvalues of $S$ but not for eigenvalues of $\nabla\nabla \eta_\Sigma$.

I keep the question and the answer on Mathoverflow since it might be useful for someone else.

I have found an answer to my question on Mathoverflow.net here. @Raziel gave the reference

H. L. Royden, MR 948079 Comparison theorems for the matrix Riccati equation, Comm. Pure Appl. Math. 41 (1988), no. 5, 739--746.

where I can find a comparison theorem for eigenvalues of $S$ but not for eigenvalues of $\nabla\nabla \eta_\Sigma$.

I keep the question and the answer on Mathoverflow since it might be useful for someone else.

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Math101
Math101
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I have found an answer to my question on Mathoverflow.net here. @Raziel gave the reference

H. L. Royden, MR 948079 Comparison theorems for the matrix Riccati equation, Comm. Pure Appl. Math. 41 (1988), no. 5, 739--746.

where I can find the answera comparison theorem for eigenvalues of $S$ but not for eigenvalues of $\nabla\nabla \eta_\Sigma$.

I keep the question and the answer on Mathoverflow since it might be useful for someone else.

I have found an answer to my question on Mathoverflow.net here. @Raziel gave the reference

H. L. Royden, MR 948079 Comparison theorems for the matrix Riccati equation, Comm. Pure Appl. Math. 41 (1988), no. 5, 739--746.

where I can find the answer.

I keep the question and the answer on Mathoverflow since it might be useful for someone else.

I have found an answer to my question on Mathoverflow.net here. @Raziel gave the reference

H. L. Royden, MR 948079 Comparison theorems for the matrix Riccati equation, Comm. Pure Appl. Math. 41 (1988), no. 5, 739--746.

where I can find a comparison theorem for eigenvalues of $S$ but not for eigenvalues of $\nabla\nabla \eta_\Sigma$.

I keep the question and the answer on Mathoverflow since it might be useful for someone else.

added 22 characters in body
Source Link
Math101
Math101
  • 143
  • 6

I have found an answer to my question on Mathoverflow.net here. @Raziel gave the reference

H. L. Royden, MR 948079 Comparison theorems for the matrix Riccati equation, Comm. Pure Appl. Math. 41 (1988), no. 5, 739--746.

where I can find the answer.

I keep the question and mythe answer on Mathoverflow since it might be useful for someone else.

I found an answer to my question on Mathoverflow.net here. @Raziel gave the reference

H. L. Royden, MR 948079 Comparison theorems for the matrix Riccati equation, Comm. Pure Appl. Math. 41 (1988), no. 5, 739--746.

where I can find the answer.

I keep the question and my answer since it might be useful for someone else.

I have found an answer to my question on Mathoverflow.net here. @Raziel gave the reference

H. L. Royden, MR 948079 Comparison theorems for the matrix Riccati equation, Comm. Pure Appl. Math. 41 (1988), no. 5, 739--746.

where I can find the answer.

I keep the question and the answer on Mathoverflow since it might be useful for someone else.

Source Link
Math101
Math101
  • 143
  • 6