Abstract
In this note we introduce the largest possible nonlinear and nonlocal symmetries of the separation (r{sub ia}-r{sub ib})G{sub ij}(r,r{sup `},r{sup ``}...)(r{sub ja}-r{sub jb}), ij=1,2,3, a,b=1,2,...,N, in a Euclidean-isotopic space E-circumflex(r,G,A-circumflex) with isometric G; we identify their Lie-isotopic structure E-circumflex(3), here called Euclidean-isotopic symmetries; and we show that they are all locally isomorphic to the conventional Euclidean symmetry E(3) under the condition of positive-definiteness of the isometric. (author). 1 ref.
Citation Formats
Santilli, R M.
Euclidean-isotopic symmetries.
IAEA: N. p.,
1991.
Web.
Santilli, R M.
Euclidean-isotopic symmetries.
IAEA.
Santilli, R M.
1991.
"Euclidean-isotopic symmetries."
IAEA.
@misc{etde_10113363,
title = {Euclidean-isotopic symmetries}
author = {Santilli, R M}
abstractNote = {In this note we introduce the largest possible nonlinear and nonlocal symmetries of the separation (r{sub ia}-r{sub ib})G{sub ij}(r,r{sup `},r{sup ``}...)(r{sub ja}-r{sub jb}), ij=1,2,3, a,b=1,2,...,N, in a Euclidean-isotopic space E-circumflex(r,G,A-circumflex) with isometric G; we identify their Lie-isotopic structure E-circumflex(3), here called Euclidean-isotopic symmetries; and we show that they are all locally isomorphic to the conventional Euclidean symmetry E(3) under the condition of positive-definiteness of the isometric. (author). 1 ref.}
place = {IAEA}
year = {1991}
month = {Sep}
}
title = {Euclidean-isotopic symmetries}
author = {Santilli, R M}
abstractNote = {In this note we introduce the largest possible nonlinear and nonlocal symmetries of the separation (r{sub ia}-r{sub ib})G{sub ij}(r,r{sup `},r{sup ``}...)(r{sub ja}-r{sub jb}), ij=1,2,3, a,b=1,2,...,N, in a Euclidean-isotopic space E-circumflex(r,G,A-circumflex) with isometric G; we identify their Lie-isotopic structure E-circumflex(3), here called Euclidean-isotopic symmetries; and we show that they are all locally isomorphic to the conventional Euclidean symmetry E(3) under the condition of positive-definiteness of the isometric. (author). 1 ref.}
place = {IAEA}
year = {1991}
month = {Sep}
}