Results 61 to 70 of about 8,804 (193)

Scalar curvature and singular metrics [PDF]

Pacific Journal of Mathematics, 2018
47pages, All comments are ...
Yuguang Shi, Luen-Fai Tam
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Exact black hole solutions with a conformally coupled scalar field and dynamic Ricci curvature in f(R) gravity theories [PDF]

, 2021
Thanasis Karakasis, Eleftherios Papantonopoulos, Zi-Yu Tang, Bin Wang   +3 more
openalex   +3 more sources

Hypersurfaces with constant scalar curvature

Mathematische Annalen, 1977
Let M be a complete two-dimensional surface immersed into the three-dimensional Euclidean space. Then a classical theorem of Hilbert says that when the curvature of M is a non-zero constant, M must be the sphere. On the other hand, when the curvature of M is zero, a theorem of Har tman-Nirenberg [4] says that M must be a plane or a cylinder.
Cheng, S.Y., Yau, S.T.
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Scalar curvature and the Thurston norm [PDF]

Mathematical Research Letters, 1997
Let \(Y\) be a closed oriented 3-manifold with \(b_1(Y)\neq 0\), and suppose that \(Y\) contains no non-separating 2-spheres or tori. For such a \(Y\), the dual Thurston norm can be defined on \(H^2 (Y;\mathbb{R})\) by the formula \[ | \alpha| =\sup_\Sigma \bigl\langle \alpha, [\Sigma] \bigr\rangle/ \bigl(2g (\Sigma)- 2\bigr), \] the supremum being ...
Tomasz S. Mrowka, Peter Kronheimer
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Renormalising the field-space geometry

Journal of High Energy Physics
We present a systematic study of one-loop quantum corrections in scalar effective field theories from a geometric viewpoint, emphasizing the role of field-space curvature and its renormalisation.
Patrick Aigner, Luigi Bellafronte, Emanuele Gendy, Dominik Haslehner, Andreas Weiler   +4 more
doaj   +1 more source

Curvature corrections to Starobinsky inflation can explain the ACT results

Physics Letters B
We investigate the impact of curvature corrections to Starobinsky inflation in light of the latest observational results from the Atacama Cosmology Telescope (ACT).
Andrea Addazi, Yermek Aldabergenov, Sergei V. Ketov   +2 more
doaj   +1 more source

Some Applications of Casorati Curvature for Statistical Submanifolds of Sasakian Statistical Manifolds and Locally Homogeneous, Quasi-Umbilical Hypersurfaces

پژوهش‌های ریاضی, 2021
In this paper, in the first part, the affine geometry is assumed as the main framework. Then we have a spacious explanation of necessary introduction in rather different subjects.
Azam Etemad Dehkordy
doaj  

Circle actions and scalar curvature [PDF]

Transactions of the American Mathematical Society, 2015
25 pages; several changes according to comments of a referee made; to appear in Trans. Am.
openaire   +5 more sources

On the moduli space curvature at infinity

Journal of High Energy Physics
We analyse the scalar curvature of the vector multiplet moduli space M X VM $$ {\mathcal{M}}_X^{\textrm{VM}} $$ of type IIA string theory compactified on a Calabi-Yau manifold X.
Fernando Marchesano, Luca Melotti, Lorenzo Paoloni   +2 more
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Asymptotic generalized extended uncertainty principle

European Physical Journal C: Particles and Fields, 2020
We present a formalism which allows for the perturbative derivation of the Extended Uncertainty Principle (EUP) for arbitrary spatial curvature models and observers.
Mariusz P. Da̧browski, Fabian Wagner
doaj   +1 more source