Thesis--Université de Liege. / "Extrait des Mémoires de la Société royale des sciences de Liége, 3e série, tome 20."

Proefschrift--Amsterdam. / "Stellingen": [2] p. inserted.

Thesis--Université de Liege. / "Extrait des Mémoires de la Société royale des sciences de Liége, 3e série, tome 20."

Thesis (Ph. D.)--Ohio State University, 2009. / Title from first page of PDF file. Includes vita. Includes bibliographical references (p. 124-125).

Thesis (PH. D)--University of Chicago, 1916. / "Private edition, distributed by the University of Chicago Libraries, Chicago, Illinois." "Reprinted from Giornale di matematiche di Battaglini Vol. LIV, 1916." Includes bibliographical references.

This thesis is a study of some properties of arcs which remain invariant under certain types of conformal representations. The study is carried on first in the conformal plane, then in conformal 3-space, and finally in conformal n-space. It is comprised of most of the research on this subject which has been carried on to date by Professors N.D. Lane and Peter Scherk. I have assisted Dr. Lane in the creation of some of the material which this thesis contains. / Thesis / Master of Arts (MA)

No description available.

No description available.

This thesis is concerned with the 2-dimensional Toda equations and their geometric interpretation in form of r-adapted maps into flag manifolds, r-adapted maps are not only of interest due to their relation with the Toda equations, but also for their adaption to the m-synametric space structure of flag manifolds. This thesis studies the congruence question for r-adapted maps in flag manifolds. The main theorem of this thesis is a congruence theorem for г-holomorphic maps Ψ : S(^2) → G/T of constant curvature, where G can be any compact simple Lie group. It is supplemented by a congruence theorem for general r-holomorphic maps Ψ : S(^2) → G/T if G has rank 2, and a number of congruence theorems for isometric r-primitive Ψ : S(^2) → G/T of constant Kahler angle. The second group of congruence theorems is proved for the rank 2 case, as well as a selection of Lie groups with higher rank: SU(4),SU(5),F(_4),E(_6),E(_6),E(_8),Sp(n).

Thesis (Ph. D.)--University of Chicago, Department of Mathematics, 1917. / "Private edition, distributed by the University of Chicago Libraries." Includes bibliographical references. Also available on the Internet.