T. Kobayashi conjectured in the 36th Geometry Symposium in Japan (1989) that a homogeneous space G/H of reductive type does not admit a compact Clifford-Klein form if rank G - rank K < rank H - rank K_H. We solve this conjecture affirmatively. We app...
We construct bi-frequency solitary waves of the nonlinear Dirac equation with the scalar self-interaction (the Soler model) and the Dirac--Klein--Gordon with Yukawa self-interaction. These solitary waves provide a natural implementation of qubit and...
We study the small perturbations of the $1+3$-dimensional Milne model for the Einstein-Klein-Gordon (EKG) system. We prove the nonlinear future stability, and show that the perturbed spacetimes are future causally geodesically complete. For the proof...
Points: 1597 | Comments: 354 | Author: leotravis10
We resolve the question of the existence of a finite 2-complex with the same fundamental group and Euler characteristic as a Klein bottle with a bubble, but homotopically distinct to it....
This paper investigates the behavior of fermions in the vicinity of Sung-Won-Kim wormholes \cite{SW Kim PRD 1996} within the framework of a generalized Kaluza-Klein gravity. The study explores the geometric and quantum implications of introducing an...
The perfect fluid cosmology in the 1+d+D dimensional Kaluza-Klein spacetimes for an arbitrary barotropic equation of state $p= n ρ$ is quantized by using the Schutz's variational formalism. We make efforts in the mathematics to solve the problems...
We investigate language generation in the limit - a model by Kleinberg and Mullainathan [NeurIPS 2024] and extended by Li, Raman, and Tewari [COLT 2025]. While Kleinberg and Mullainathan proved generation is possible for all countable collections, Li...
This is an English translation of Felix Klein's paper "Ueber die Transformation elfter Ordnung der elliptischen Functionen" from 1879....
This paper is a continuation of a previous work Germain-Pusateri (2020) by the first two authors. We focus on $1$ dimensional quadratic Klein-Gordon equations with a potential, under some assumptions that are less general than Germain-Pusateri (2020)...
Kleine Ammer is a short river of Bavaria, Germany. It flows into the Ammer near Oberammergau. List of rivers of Bavaria v t e
This dissertation discusses solutions to the nonlinear Klein-Gordon equation with symmetric and asymmetric double-well potentials, focusing on the collapse and collision of bubbles and critical phenomena found therein. A new method is presented tha...
The newly proposed island formula for entanglement entropy of Hawking radiation is applied to spherically symmetric 4-dimensional eternal Kaluza-Klein (KK) black hole. The "charge" $Q$ of KK black holes quantifies its deviation from Schwarzschild bla...
The algebras of the symmetry operators for the Hamilton-Jacobi and Klein-Gordon-Fock equations are found for a charged test particle moving in an external electromagnetic field in a spacetime manifold, on the isotropic (null) hypersurface of which a...
We prove that Klein quartic maximizes the multiplicity of the first positive eigenvalue of the Laplacian among all closed hyperbolic surfaces of genus $3$, with multiplicity equal to $8$. We also obtain partial results in genus $2$, where we find tha...
Brother" (with Robin Snyder, in v2 No. 161, 1983) "Apprentice" (with Todd Klein, in v2 No. 162, 1983) "Hero" (with Todd Klein, in v2 No. 164, 1983) "Green Magic
President Trump is asking the Supreme Court to allow him to continue building his ballroom project, citing previous threats to his life and national security needs. The emergency request comes after a series of legal rebukes, raising questions about the future of the active const…
After declining President Trump’s invitation to the State of the Union, the US women’s hockey team just got an offer to celebrate their gold medal win with rapper Flavor Flav. CNN’s Betsy Klein reports.
4 days ago · We study how people understand their privacy as users of technology, examine and document the risks and opportunities of privacy-related policies at various levels of society, and help â¦