Results 81 to 90 of about 5,383,504 (242)
The role of the curvature of a surface in the shape of the solutions to elliptic equations
Proceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.Abstract We prove the uniqueness and nondegeneracy of the critical point of positive, semistable solutions of −Δu=f(u)$-\Delta u=f(u)$ with Dirichlet boundary conditions for a class of star‐shaped domains on the sphere and in the hyperbolic plane satisfying a geometric condition.
Francesca Gladiali +2 more
wiley +1 more source
, 2021 A real hypersurface in $\mathbb{C}^2$ is said to be Reinhardt if it is invariant under the standard $\mathbb{T}^2$-action on $\mathbb{C}^2$. Its CR geometry can be described in terms of the curvature function of its ``generating curve'', i.e., the ...
Son, Duong Ngoc, Dall'Ara, Gian Maria
core +2 more sources
Background Instability of Quintessence Model in Light of Entropy and Distance Conjecture
Fortschritte der Physik, Volume 74, Issue 6, June 2026.ABSTRACT We apply the covariant entropy bound argument supporting the de Sitter swampland conjecture to the quintessence model, to find out the condition for the background to be unstable. More concretely, the background is unstable when the matter entropy given by the species number of the effective field theory increases more rapidly than the ...
Min‐Seok Seo
wiley +1 more source
Real hypersurfaces of a complex projective space
Tsukuba Journal of Mathematics, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
On a Hopf hypersurface of a complex space form
, 2010 We prove that if the sectional curvatures for plane sections containing the structure vector field of a real hypersurface in a complex space form are equal to the same constant at every point, then the real hypersurface is a Hopf hypersurface.
Kon, Mayuko
core +1 more source
Fortschritte der Physik, Volume 74, Issue 6, June 2026.ABSTRACT We present a clear, step‐by‐step method for counting degrees of freedom and identifying constraints in general field theories. This approach, grounded in the works of Einstein, Hilbert, Cartan, Kuranishi, and, more recently, Seiler, is neither Lagrangian nor Hamiltonian in nature. Instead, it applies directly to the field equations. We offer a
Lavinia Heisenberg
wiley +1 more source
, 2013 We prove that the Ricci tensor with respect to the generalized Tanaka-Webster connection of a real hypersurface with the almost contact structure (eta, phi, xi, g) in a complex space form of complex dimension n >= 3 satisfies (S) over cap (X, phi Y ...
Kon, Mayuko, Kon Mayuko
core +2 more sources
Two theorems on (ϵ)-Sasakian manifolds
International Journal of Mathematics and Mathematical Sciences, 1998 In this paper, We prove that every (ϵ)-sasakian manifold is a hypersurface of an indefinite kaehlerian manifold, and give a necessary and sufficient condition for a Riemannian manifold to be an (ϵ)-sasakian manifold.
Xu Xufeng, Chao Xiaoli
doaj +1 more source
Vertical Deformation Mapping: Steering Optimiser Toward Flat Minima
CAAI Transactions on Intelligence Technology, Volume 11, Issue 3, Page 835-846, June 2026.ABSTRACT Standard deep learning optimisation is typically conducted on shape‐fixed loss surfaces. However, shape‐fixed loss surfaces may impede optimisers from reaching flat regions closely associated with strong generalisation. In this work, we propose a new paradigm named deformation mapping to deform the loss surface during optimisation.
Liangming Chen +4 more
wiley +1 more source
Ricci tensor of real hypersurfaces [PDF]
Pacific Journal of Mathematics, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources