Topics in hyperbolic geometry suitable for PhD-level research papers? [closed]












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I am going to take admission in PhD course and I am planing to research on Hyperbolic Geometry.



I saw some research on "hyperbolic distance or metric along the line of symmetry in a rectangle".



There are some research on manifold structure on hyperbolic geometry.



I saw some research on geodesic property.



But I am not sure which topic of Hyperbolic geometry should be useful to publish some research papers for my PhD.



Can I get some advice from some experts on hyperbolic geometry?










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closed as off-topic by Brahadeesh, Arnaud D., Ben, Cesareo, José Carlos Santos Dec 14 '18 at 10:27


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "Seeking personal advice. Questions about choosing a course, academic program, career path, etc. are off-topic. Such questions should be directed to those employed by the institution in question, or other qualified individuals who know your specific circumstances." – Brahadeesh, Arnaud D., Ben, Cesareo, José Carlos Santos

If this question can be reworded to fit the rules in the help center, please edit the question.












  • 1




    $begingroup$
    I don't know if it's PhD-level, but I have a long-standing question: What is the Pythagorean/deGua Theorem for right-corner simplices in hyperbolic $d$-space? Only the cases $d=2$ and $d=3$ are known (to me). See this answer.
    $endgroup$
    – Blue
    Dec 14 '18 at 10:02
















1












$begingroup$


I am going to take admission in PhD course and I am planing to research on Hyperbolic Geometry.



I saw some research on "hyperbolic distance or metric along the line of symmetry in a rectangle".



There are some research on manifold structure on hyperbolic geometry.



I saw some research on geodesic property.



But I am not sure which topic of Hyperbolic geometry should be useful to publish some research papers for my PhD.



Can I get some advice from some experts on hyperbolic geometry?










share|cite|improve this question











$endgroup$



closed as off-topic by Brahadeesh, Arnaud D., Ben, Cesareo, José Carlos Santos Dec 14 '18 at 10:27


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "Seeking personal advice. Questions about choosing a course, academic program, career path, etc. are off-topic. Such questions should be directed to those employed by the institution in question, or other qualified individuals who know your specific circumstances." – Brahadeesh, Arnaud D., Ben, Cesareo, José Carlos Santos

If this question can be reworded to fit the rules in the help center, please edit the question.












  • 1




    $begingroup$
    I don't know if it's PhD-level, but I have a long-standing question: What is the Pythagorean/deGua Theorem for right-corner simplices in hyperbolic $d$-space? Only the cases $d=2$ and $d=3$ are known (to me). See this answer.
    $endgroup$
    – Blue
    Dec 14 '18 at 10:02














1












1








1


1



$begingroup$


I am going to take admission in PhD course and I am planing to research on Hyperbolic Geometry.



I saw some research on "hyperbolic distance or metric along the line of symmetry in a rectangle".



There are some research on manifold structure on hyperbolic geometry.



I saw some research on geodesic property.



But I am not sure which topic of Hyperbolic geometry should be useful to publish some research papers for my PhD.



Can I get some advice from some experts on hyperbolic geometry?










share|cite|improve this question











$endgroup$




I am going to take admission in PhD course and I am planing to research on Hyperbolic Geometry.



I saw some research on "hyperbolic distance or metric along the line of symmetry in a rectangle".



There are some research on manifold structure on hyperbolic geometry.



I saw some research on geodesic property.



But I am not sure which topic of Hyperbolic geometry should be useful to publish some research papers for my PhD.



Can I get some advice from some experts on hyperbolic geometry?







hyperbolic-geometry






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Dec 14 '18 at 9:46









Blue

48.5k870154




48.5k870154










asked Dec 14 '18 at 8:38









arifamatharifamath

1176




1176




closed as off-topic by Brahadeesh, Arnaud D., Ben, Cesareo, José Carlos Santos Dec 14 '18 at 10:27


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "Seeking personal advice. Questions about choosing a course, academic program, career path, etc. are off-topic. Such questions should be directed to those employed by the institution in question, or other qualified individuals who know your specific circumstances." – Brahadeesh, Arnaud D., Ben, Cesareo, José Carlos Santos

If this question can be reworded to fit the rules in the help center, please edit the question.







closed as off-topic by Brahadeesh, Arnaud D., Ben, Cesareo, José Carlos Santos Dec 14 '18 at 10:27


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "Seeking personal advice. Questions about choosing a course, academic program, career path, etc. are off-topic. Such questions should be directed to those employed by the institution in question, or other qualified individuals who know your specific circumstances." – Brahadeesh, Arnaud D., Ben, Cesareo, José Carlos Santos

If this question can be reworded to fit the rules in the help center, please edit the question.








  • 1




    $begingroup$
    I don't know if it's PhD-level, but I have a long-standing question: What is the Pythagorean/deGua Theorem for right-corner simplices in hyperbolic $d$-space? Only the cases $d=2$ and $d=3$ are known (to me). See this answer.
    $endgroup$
    – Blue
    Dec 14 '18 at 10:02














  • 1




    $begingroup$
    I don't know if it's PhD-level, but I have a long-standing question: What is the Pythagorean/deGua Theorem for right-corner simplices in hyperbolic $d$-space? Only the cases $d=2$ and $d=3$ are known (to me). See this answer.
    $endgroup$
    – Blue
    Dec 14 '18 at 10:02








1




1




$begingroup$
I don't know if it's PhD-level, but I have a long-standing question: What is the Pythagorean/deGua Theorem for right-corner simplices in hyperbolic $d$-space? Only the cases $d=2$ and $d=3$ are known (to me). See this answer.
$endgroup$
– Blue
Dec 14 '18 at 10:02




$begingroup$
I don't know if it's PhD-level, but I have a long-standing question: What is the Pythagorean/deGua Theorem for right-corner simplices in hyperbolic $d$-space? Only the cases $d=2$ and $d=3$ are known (to me). See this answer.
$endgroup$
– Blue
Dec 14 '18 at 10:02










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