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Twist or theory of immersions of surfaces in four-dimensional spheres and hyperbolic spacesFawley, Helen Linda January 1997 (has links)
Let f : S → S(^4) be an immersion of a Riemann surface in the 4-sphere. The thesis begins with a study of the adapted moving frame of / in order to produce conditions for certain naturally defined lifts to SO(5)/U(2) and S0(5)T(^2) to be conformal, harmonic and holomorphic with respect to two different but naturally occuring almost complex structures. This approach brings together the results of a number of authors regarding lifts of conformal, minimal immersions including the link with solutions of the Toda equations. Moreover it is shown that parallel mean curvature immersions have haj-monic lifts into S0(5)/U(2).A certain natural lift of / into CP(^3), the twistor space of S(^4), is studied more carefully via an explicit description and in the case of / being a conformal immersion this gives a beautiful and simple formula for the lift in terms of a stereographic co-ordinate associated to /. This involves establishing explicitly the two-to-one correspondence between elements of the matrix groups Sp(2) and SO(5) and working with quaternions. The formula enables properties of such lifts to be explored and in particular it is shown that the harmonic sequence of a harmonic lift is either finite or satisfies a certain symmetry property. Uniqueness properties of harmonic lifts are also proved. Finally, the ideas are extended to the hyperbolic space H(^4) and after an exposition of the twistor fibration for this case, a method for constructing superminimal immersions of surfaces into H'^ from those in S"' is given.
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Radiohm mapping of permafrostPowell, Brian W. January 1978 (has links)
No description available.
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Evolution of the Far East on Portuguese portolan charts, 1500-1650Li, Leslie Ching-yee. January 1974 (has links)
Thesis (M.S.)--University of Wisconsin--Madison, 1974. / Title from title screen (viewed May 13, 2009). Includes bibliographical references. Online version of print original.
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Constructions of harmonic maps between Hadamard manifolds /Ueno, Keisuke. January 2001 (has links)
Univ., Diss.--Sendai.
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Die wirtschaftsgeographische wandkarte. Versuch einer aufstellung von allgemeinen prinzipien und methoden für die schaffung wirtschaftsgeographischer wandkarten ...Schumachers, Fritz P., January 1930 (has links)
Inaug.-diss.--München. / Lebenslauf. Multigraphed. "Verzeichnis der benutzten literatur und karten": p. 101-106.
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Research on knowledge-based descriptive cataloging of cartographic publications an experimental advice-giving system--Mapper /Ercegovac, Zorana, January 1990 (has links)
Thesis (Ph. D.)--University of California, Los Angeles, 1990. / Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references.
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The map and the territory in the poetry of Wallace StevensThompson, Erik Robb. Simpkins, Scott, January 2009 (has links)
Thesis (Ph. D.)--University of North Texas, Dec., 2009. / Title from title page display. Includes bibliographical references.
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Map-reading and wayfindingOttosson, Torgny. January 1900 (has links)
Thesis (doctoral)--Göteborgs universitet, 1987. / Added t.p. with thesis statement and abstract inserted. Includes bibliographical references (p. 142-150).
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Harmonic maps in Kähler geometry /Lo, Kwai-wing, Eric. January 1997 (has links)
Thesis (M. Phil.)--University of Hong Kong, 1997. / Includes bibliographical references (leaf 61-66).
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An automated method for locating sinkholes in Montgomery County, Virginia, using digital elevation models /Mehrotra, Neeta. January 1992 (has links)
Thesis (M.S.)--Virginia Polytechnic Institute and State University, 1992. / Vita. Abstract. Includes bibliographical references (leaves 112-114). Also available via the Internet.
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