Generalized Helix: What Do You Think?

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  • Thread starter Thread starter Abel Cavaşi
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    generalized Helix
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Discussion Overview

The discussion centers around the concept of a generalized helix and its mathematical properties, particularly in the context of differential geometry. Participants explore the idea of generalized Frenet trihedrons and the recurrence theorem, seeking references and deeper understanding of these topics.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant proposes a generalized helix and invites feedback on their ideas presented in attached material.
  • Another participant requests references to differential geometry books that discuss generalized Frenet trihedrons and the recurrence theorem.
  • A participant mentions a specific forum link where the recurrence theorem can be found and expresses a desire for a detailed study of the problem.
  • There is a repeated request for references to books on differential geometry, emphasizing that forum posts are not considered valid sources.
  • One participant expresses inability to provide multiple sources but suggests that others might assist.
  • A later reply indicates that personal research is not permitted on the forum and requests adherence to valid references.

Areas of Agreement / Disagreement

The discussion reflects a lack of consensus, with participants expressing differing views on the validity of personal research and the need for references. The topic remains unresolved as participants seek more information and clarification.

Contextual Notes

Limitations include the absence of specific definitions and the need for valid references to support claims made in the discussion. The scope of the generalized helix and its mathematical implications are not fully explored.

Abel Cavaşi
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What do you think, might be generalized the helix in the manner that I propose in the attached material?
 

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Can you give some references to differential geometry books that deal with these generalized frenet trihedrons and that recurrence theorem?
 
The reccurence theorem can be found even https://www.physicsforums.com/showthread.php?t=612009. I would be glad if the problem could be studied in detail.
 
Abel Cavaşi said:
The reccurence theorem can be found even https://www.physicsforums.com/showthread.php?t=612009. I would be glad if the problem could be studied in detail.

Please provide a reference such a book on differential geometry on this topic. Another forum post doesn't count.
 
Unfortunately, I can not give you several sources. However, maybe someone else could help us in this regard.
 
Then this is personal research. This is not allowed on this forum. Please do not post anything again without valid references.

Thread locked.
 

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