TY  - BOOK
AU  - Weinstein,Tilla
TI  - An Introduction to Lorentz Surfaces
T2  - De Gruyter Expositions in Mathematics Series
SN  - 9783110821635
AV  - QC20.7.T65 
U1  - 530.1/54 
PY  - 1996///
CY  - Berlin/Boston
PB  - Walter de Gruyter GmbH
KW  - Electronic books
N1  - Intro -- Introduction -- Chapter 1. Null lines on Lorentz surfaces --  1.1. Scalar products and causal character --  1.2. Metrics and null direction fields --  1.3. Lorentz surfaces and proper null coordinates --  1.4. A first look at null lines --  1.5. The Euclidean plane E2 and the Minkowski plane E21 -- Chapter 2. Box surfaces, yardsticks and global properties of Lorentzian metrics --  2.1. The one-one correspondence between box surfaces and Lorentz surfaces --  2.2. Yardsticks and time-orientability --  2.3. Intrinsic curvature and a first look at the example in our logo --  2.4. Geodesics and pregeodesics --  2.5. Completeness, inextendibility, and causality conditions -- Chapter 3. Conformal equivalence and the Poincaré index --  3.1. Definitions of conformal equivalence --  3.2. Cj conformally equivalent Lorentz surfaces need not be Cj+1 conformally equivalent --  3.3. The Poincaré index --  3.4. The Poincaré Index Theorem -- Chapter 4 Kulkarni's conformal boundary --  4.1. Ideal endpoints --  4.2. The points on the conformal boundary --  4.3. The topology on the conformal boundary --  4.4. Some properties of the conformal boundary -- Chapter 5 Using the conformal boundary --  5.1. The foliations X and Y --  5.2. Spans on ℒ --  5.3. A special ℋ+ chart on the span of a null curve --  5.4. Characterization of C0 smoothability of the conformal boundary --  5.5. Kulkarni's use of the conformal boundary -- Chapter 6. Conformal invariants on Lorentz surfaces --  6.1. Conformal indices on an arbitrary Lorentz surface --  6.2. Conformal indices associated with ∂ℒ and more properties of ∂ℒ --  6.3. Some notions of symmetry --  6.4. Smyth's digraph, determining sets and some other conformal invariants -- Chapter 7. Classical surface theory and harmonically immersed surfaces; 7.1. A quick review of local surface theory in Euclidean 3-space --  7.2. A quick review of local surface theory in Minkowski 3-space --  7.3. Contrasting the behavior of surfaces in E3 and E3,1 --  7.4. The Hilbert-Holmgren theorem for harmonically immersed surfaces -- Chapter 8. Conformal realization of Lorentz surfaces in Minkowski 3-space --  8.1. Entire timelike minimal surfaces in E3,1 --  8.2. Associate families of minimal surfaces --  8.3. Some conformal realizations of Lorentz surfaces in E3,1 --  8.4. Some last remarks on conformal imbeddings and immersions -- Bibliography -- Index
N2  - No detailed description available for "An Introduction to Lorentz Surfaces"
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3040677
ER  -