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Aug 16, 2015 at 5:53 vote accept Ali Taghavi
Aug 10, 2015 at 21:26 history edited Robert Bryant CC BY-SA 3.0
Added a phrase that clarifies the nature of the extended exterior differential system
Aug 9, 2015 at 7:29 comment added Robert Bryant @AliTaghavi: If the number of vector fields is to be the same as the dimension, then, yes, the vector fields must be orthonormal.
Aug 9, 2015 at 3:51 comment added Ali Taghavi Thank you again for your answer.I need more background to understand it.But just a question:Am I mistaken to think that the expression of $\Delta$ in terms of $X_{i}$ depends sensitivly on "Orthonormality" of the frame?So Is my question in the post equivalent to the same question with etra restriction orthonormality of X_{i}?I think 2 answers to this questions are assuming this extra restriction.
Aug 7, 2015 at 15:46 history edited Robert Bryant CC BY-SA 3.0
Added an interesting remark
Aug 7, 2015 at 9:55 history edited Robert Bryant CC BY-SA 3.0
added 503 characters in body
Aug 7, 2015 at 7:01 comment added Ali Taghavi Prof. Bryant Thank you very much for consideration of my request about the details of your answer. Thank you for spending time to write it.I try to learn it.
Aug 7, 2015 at 2:32 history edited Robert Bryant CC BY-SA 3.0
added 4103 characters in body
Aug 6, 2015 at 21:36 comment added Ali Taghavi Thank you very much for the answer. I confess that I do not understand the details. Can I ask you to add a few more explanation?
Aug 6, 2015 at 17:58 history answered Robert Bryant CC BY-SA 3.0