Results 31 to 40 of about 1,202,632 (386)

The inverse Monge–Ampère flow and applications to Kähler–Einstein metrics [PDF]

Journal of differential geometry, 2017
We introduce the inverse Monge-Ampere flow as the gradient flow of the Ding energy functional on the space of Kahler metrics in $2 \pi \lambda c_1(X)$ for $\lambda=\pm 1$. We prove the long-time existence of the flow.
Tristan C. Collins, Tomoyuki Hisamoto, Ryosuke Takahashi   +2 more
semanticscholar   +1 more source

Rigidity of Weak Einstein-Randers Spaces [PDF]

Sahand Communications in Mathematical Analysis
The Randers metrics are popular metrics similar to the Riemannian metrics, frequently used in physical and geometric studies. The weak Einstein-Finsler metrics are a natural generalization of the Einstein-Finsler metrics.
Behnaz Lajmiri, Behroz Bidabad, Mehdi Rafie-Rad   +2 more
doaj   +1 more source

Smooth approximation of twisted Kähler-Einstein metrics

Advanced Nonlinear Studies, 2023
In this article, we prove the existence of smooth approximations of twisted Kähler-Einstein metrics using the variational method.
Jin Lize, Wang Feng
doaj   +1 more source

Kähler–Einstein metrics and volume minimization [PDF]

Advances in Mathematics, 2016
We prove that if a $\mathbb{Q}$-Fano variety $V$ specially degenerates to a K\"{a}hler-Einstein $\mathbb{Q}$-Fano variety $V$, then for any ample Cartier divisor $H=-r^{-1} K_V$ with $r\in \mathbb{Q}_{>0}$, the normalized volume $\widehat{\rm vol}(v)=A_{\
Chi Li, Yuchen Liu
semanticscholar   +1 more source

Quasi-topological Ricci polynomial gravities

Journal of High Energy Physics, 2018
Quasi-topological terms in gravity can be viewed as those that give no contribution to the equations of motion for a special subclass of metric ansätze. They therefore play no rôle in constructing these solutions, but can affect the general perturbations.
Yue-Zhou Li, Hai-Shan Liu, H. Lü
doaj   +1 more source

Brane brick models for the Sasaki-Einstein 7-manifolds Y p,k (ℂℙ1 × ℂℙ1) and Y p,k (ℂℙ2)

Journal of High Energy Physics, 2023
The 2d (0, 2) supersymmetric gauge theories corresponding to the classes of Y p,k (ℂℙ1 × ℂℙ1) and Y p,k (ℂℙ2) manifolds are identified. The complex cones over these Sasaki-Einstein 7-manifolds are non-compact toric Calabi-Yau 4-folds.
Sebastián Franco, Dongwook Ghim, Rak-Kyeong Seong   +2 more
doaj   +1 more source

About the Teaching of the Inertial Fieldas Maxwell like-type [PDF]

Revista Brasileira de Ensino de Física, 2021
This paper has a didactic aim. The Einstein General Theory of Relativity is very difficult for undergraduates students and also for graduates who have not followed a course of study in gravitational physics.
Elmo Benedetto, Antonio Briscione, Gerardo Iovane   +2 more
doaj   +2 more sources

Left-Invariant Einstein-like Metrics on Compact Lie Groups

Mathematics, 2022
In this paper, we study left-invariant Einstein-like metrics on the compact Lie group G. Assume that there exist two subgroups, H⊂K⊂G, such that G/K is a compact, connected, irreducible, symmetric space, and the isotropy representation of G/H has exactly
An Wu, Huafei Sun
doaj   +1 more source

Sasaki–Einstein metrics and K–stability [PDF]

Geometry and Topology, 2015
We show that a polarized affine variety admits a Ricci flat K\"ahler cone metric, if and only if it is K-stable. This generalizes Chen-Donaldson-Sun's solution of the Yau-Tian-Donaldson conjecture to K\"ahler cones, or equivalently, Sasakian manifolds ...
Tristan C. Collins, G'abor Sz'ekelyhidi
semanticscholar   +1 more source

The Bach-flat and conformally Einstein equations for Siklos spacetimes [PDF]

Journal of Mahani Mathematical Research
Within the large class of Siklos spacetimes, we completely classify Bach-flat metrics, which turn out to be related to a bi-harmonicity property of the defining function.
Amirhesam Zaeim
doaj   +1 more source