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Gaussian Curvature and the Gauss Map

2001
We shall now introduce two new measures of the curvature of a surface, called its gaussian and mean curvatures. Although these together contain the same information as the two principal curvatures, they turn out to have greater geometrical significance.
openaire   +1 more source

Nonzero Gauss curvature

2006
Qing Han, Jia-Xing Hong
openaire   +1 more source

Spin-Induced Black Hole Scalarization in Einstein-Scalar-Gauss-Bonnet Theory

Physical Review Letters, 2021
Emanuele Berti, Lucas, Burkhard Kleihaus
exaly  

Do generalized Gauss graphs induce curvature varifolds?

1996
The author introduces the notion of a generalized Gauss graph for any codimension in terms of integer multiplicity rectifiable currents, in particular, the Gauss graphs of smooth oriented submanifolds are seen to belong to this class. The main result (Theorem 3.1) states that under certain geometric conditions a generalized Gauss graph induces an ...
openaire   +2 more sources

f(R) Theories

Living Reviews in Relativity, 2010
Antonio De Felice, Shinji Tsujikawa
exaly  

Charged black holes in AdS spaces in 4D Einstein Gauss-Bonnet gravity

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 2020
Pedro G s Fernandes
exaly  

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