Results 21 to 30 of about 3,612 (103)

A characterization of ruled hypersurfaces and homogeneous real hypersurfaces of type (A₀), (A₁), and (B) in non-flat complex space forms [PDF]

, 2016
The purpose of this paper is to give a characterization of ruled hypersurfaces and homogeneous real hypersurfaces of type (A₀), (A₁), and (B) in non-flat complex space forms by using the second covariant derivatives of the shape ...
Nagai Setsuo
core   +1 more source

Vertical Deformation Mapping: Steering Optimiser Toward Flat Minima

CAAI Transactions on Intelligence Technology, EarlyView.
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, Longbang Wang, Man‐Fai Leung, Jianfeng Li, Long Jin   +4 more
wiley   +1 more source

The geometric Cauchy problem for developable submanifolds

, 2019
Given a smooth distribution $\mathscr{D}$ of $m$-dimensional planes along a smooth regular curve $\gamma$ in $\mathbb{R}^{m+n}$, we consider the following problem: To find an $m$-dimensional developable submanifold of $\mathbb{R}^{m+n}$, that is, a ruled
Raffaelli, Matteo
core   +1 more source

Rational points on even‐dimensional Fermat cubics

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley   +1 more source

Cohomology of bundles on homological Hopf manifold

, 2008
We discuss the properties of complex manifolds having rational homology of $S^1 \times S^{2n-1}$ including those constructed by Hopf, Kodaira and Brieskorn-van de Ven.
A. Andreotti, A. Grothendieck, A. Haefliger, A. Libgober, Anatoly Libgober, B. Totaro, C. Okonek, D. Mall, D. Mall, E. Brieskorn, F. Bosio, G. Nin, G. Scheja, H. E. Hamm, H. Vosegaard, J. Milnor, J. P. Serre, K. Kodaira, K. Kodaira, M. Maruyama, P. Deligne, R. Narasimhan, S. Morita, S. Stephen, V. Danilov, W. Ebeling, Y. T. Siu, Y. T. Siu   +27 more
core   +1 more source

PES‐trotter: A Cross‐Platform Open‐Source Application for the Analysis of Molecular Processes on 3D Potential‐Energy Landscapes

Journal of Computational Chemistry, Volume 47, Issue 14, 30 May 2026.
PES‐trotter is a cross‐platform open‐source application for the exploration and analysis of 3D potential‐energy landscapes associated to molecular systems. Along with video‐game‐like exploration, it allows plotting energy profiles from custom paths, computing critical points and minimum‐energy paths, and playing back dynamical trajectories. PES‐trotter
Erwan Privat, Ajay Mohan Singh Rawat, Bernardo Ballotta, Antonino Polimeno, Sergio Rampino   +4 more
wiley   +1 more source

Some open problems and conjectures on submanifolds of finite type: recent development [PDF]

, 2014
Submanifolds of finite type were introduced by the author during the late 1970s. The first results on this subject were collected in author's books [26,29].
Chen, Bang-Yen
core   +1 more source

Fine dissipative properties of Euler solutions with measure first derivatives

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract We study fine properties of bounded weak solutions to the incompressible Euler equations whose first derivatives, or only some combinations of them, are Radon measures. As consequences we obtain elementary proofs of the local energy conservation for solutions with bounded variation or deformation, without relying on the freedom in choosing the
Marco Inversi
wiley   +1 more source

Which singular tangent bundles are isomorphic?

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract Logarithmic and b$ b$‐tangent bundles provide a versatile framework for addressing singularities in geometry. Introduced by Deligne and Melrose, these modified bundles resolve singularities by reframing singular vector fields as well‐behaved sections of these singular bundles.
Eva Miranda, Pablo Nicolás
wiley   +1 more source

Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs

Communications on Pure and Applied Mathematics, Volume 79, Issue 4, Page 1012-1072, April 2026.
Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley   +1 more source