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trisct
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4 votes
1 answer
502 views

Possible flaw in the proof of the Eells-Sampson theorem on harmonic maps in Nishikawa's book

3 votes
2 answers
905 views

Differentiability of characteristic functions and moments of the corresponding measure

3 votes
0 answers
81 views

How does one prove that the Teichmuller space of a closed Riemann surface of genus $\geq2$ is uniquely geodesic?

3 votes
1 answer
83 views

Number of curves in an admissible system of Jordan curves on a surface

3 votes
1 answer
113 views

Can a closed horizontal trajectory on a Riemann surface be freely homotopic to $0$?

2 votes
1 answer
222 views

What is the Teichmuller metric on the Teichmuller space of a closed surface of genus 1?

1 vote
1 answer
110 views

How does this orthogonality follow from the map being an isometry?

0 votes
1 answer
406 views

How can I prove this Weitzenbock formula

0 votes
0 answers
210 views

Can we improve the error bounds for spline interpolation if the interpolated function is smooth?

0 votes
0 answers
134 views

Why is the divergence theorem used in the Eells-Sampson paper slightly different from that in a textbook?

0 votes
1 answer
165 views

What is a Lipschitz continuous map between Riemann surfaces in Jost's book Compact Riemann Surfaces?