Titlebook: Lorentzian Geometry and Related Topics; GeLoMa 2016, Málaga, María A. Cañadas-Pinedo,José Luis Flores,Francisco Conference proceedings 2017

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黑豹

978-3-030-09767-7Springer International Publishing AG 2017

讽刺滑稽戏剧

思考才皱眉

Anti-De Sitter Spacetimes and Isoparametric Hypersurfaces in Complex Hyperbolic Spaces,By lifting hypersurfaces in complex hyperbolic spaces to anti-De Sitter spacetimes, we prove that an isoparametric hypersurface in the complex hyperbolic space has the same principal curvatures as a homogeneous one.

愚笨

Migratory

Space-Time Convex Functions and Sectional Curvature,vex and .-convex (.) functions, as defined by Gibbons and Ishibashi. Among the consequences are a natural construction of such functions, and an analog, that applies to domains of a new type, of a theorem of Alías, Bessa and deLira ruling out trapped submanifolds.

断断续续

Recent Results on Oscillator Spacetimes,eralizing its bi-invariant metric, ‘is probably the most relevant naturally reductive Lorentzian example in the literature’ Batat et al. (Differ Geometry Appl 41: 48–64, [.]) . We describe an explicit system of global coordinates for the Lorentzian oscillator group, and use it to compute its symmetries and solutions to the Ricci soliton equation.

生来

Umbilical Spacelike Submanifolds of Arbitrary Co-dimension,long normal directions. We do that by using the so-called ., i.e., the trace-free part of the second fundamental form. We define the . and the . as the spaces generated by the total shear tensor and by the umbilical vector fields, respectively. We show that the sum of their dimensions must equal the co-dimension.

生意行为

Harrowing

Extending Translating Solitons in Semi-Riemannian Manifolds,which are invariant by the action of a Lie group of isometries of the ambient space, by paying attention to the behavior close to the singular orbit (if any) and at infinity. Then, we provide some related examples.