Results 41 to 50 of about 131 (120)

Tangent Blow‐Ups for Processing Non‐Manifold Geometry

Computer Graphics Forum, EarlyView.
Abstract Many geometry processing pipelines implicitly assume their input data is a manifold, or is sampled from one, with a unique tangent plane at every point. Geometric data, however, routinely contains sharp features like edges, corners, self‐intersections, branching junctions, and other singularities, rendering standard methods ill‐defined at ...
Alice Petrov, Mohammad Sina Nabizadeh, Ana Dodik, Justin Solomon   +3 more
wiley   +1 more source

The de Rham Cohomology Classes of Hemi-Slant Submanifolds in Locally Product Riemannian Manifolds

Mathematics
This paper aims to discuss the de Rham cohomology of hemi-slant submanifolds in locally product Riemannian manifolds. The integrability and geodesical invariance conditions of the distributions derived from the definition of a hemi-slant submanifold are ...
Mustafa Gök, Erol Kılıç
doaj   +1 more source

On the geometry of WDVV equations and their Hamiltonian formalism in arbitrary dimension

Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.
Abstract It is known that in low dimensions Witten–Dijkgraaf–Verlinde–Verlinde (WDVV) equations can be rewritten as commuting quasilinear bi‐Hamiltonian systems. We extend some of these results to arbitrary dimension N$N$ and arbitrary scalar product η$\eta$.
S. Opanasenko, R. Vitolo
wiley   +1 more source

Crystal Anisotropy Implications on the Magneto‐Optical Properties of van der Waals FePS3

Advanced Quantum Technologies, Volume 9, Issue 9, September 2026.
Crystal anisotropy in FePS3 due to a distorted FeS6 octahedron results in significant changes in its electronic and optical transitions. For the first time, four emission transitions are revealed with both linear and circular polarization responses down to the monolayer.
Ellenor Geraffy, Kusha Sharma, Shahar Zuri, Faris Horani, Adam K. Budniak, Muhamed Dawod, Yaron Amouyal, Thomas Brumme, Andrea Maricel León, Thomas Heine, Rajesh Kumar, Doron Naveh, Efrat Lifshitz   +12 more
wiley   +1 more source

Hardware‐Efficient Hamiltonian Simulation via Trotter‐Initialized Variational Optimization With Native Placement

Advanced Quantum Technologies, Volume 9, Issue 9, September 2026.
A new physics‐informed compilation framework bridges the gap between theoretical quantum simulations and noisy NISQ hardware. By combining native qubit placement with adaptive, variational circuit synthesis, this approach drastically reduces circuit depth and circumvents device noise, unlocking high‐fidelity quantum simulations on current processors ...
F. S. Luiz, P. N. Ferreira, M. C. de Oliveira   +2 more
wiley   +1 more source

Unified Ray and Amplitude Tracing ODE Systems for the Eikonal and Transport Equations via Contact Geometry

Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.
ABSTRACT High‐frequency seismic wave descriptions are essential for fundamental geophysical applications, including earthquake hypocenter location, magnitude estimation, and traveltime–amplitude tomography. These descriptions rely on two coupled PDEs: the eikonal equation (governing traveltimes) and the transport equation (governing amplitudes ...
Ahmet Beyaz, Çağrı Diner, Mustafa Tevfik Aktar   +2 more
wiley   +1 more source

Isometric immersions into three‐dimensional unimodular metric Lie groups

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract We study isometric immersions of surfaces into simply connected three‐dimensional unimodular Lie groups endowed with either Riemannian or Lorentzian left‐invariant metrics, assuming that Milnor's operator is diagonalizable in the Lorentzian case.
Ildefonso Castro, José M. Manzano, José S. Santiago   +2 more
wiley   +1 more source

On pointwise quasi bi-slant submanifolds

Filomat, 2022
In this paper, we introduce a new class of submanifolds which are called pointwise quasi bi-slant submanifolds in almost Hermitian manifolds which extends quasi bi-slant, bi-slant, hemi-slant, semi-slant and slant submanifolds in a very natural way. Several basic results in this respect are proved in this paper.
Mehmet Akyol, Selahattin Beyendi, Tanveer Fatima, Akram Ali   +3 more
openaire   +1 more source

Surface subgroups for cocompact lattices of isometries of H2n$\mathbb {H}^{2n}$

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract We prove the existence of surface subgroups within any cocompact lattice Γ$\Gamma$ in SO(2n,1)$\mathrm{SO}(2n,1)$ for n⩾2$n\geqslant 2$. This result addresses the cases missing from the work of Hamenstädt in 2015, who constructed surface subgroups in cocompact lattices for all other rank‐1 simple Lie groups of noncompact type.
Jeremy Kahn, Zhenghao Rao
wiley   +1 more source

Pointwise Slant and Pointwise Semi-Slant Submanifolds in Almost Contact Metric Manifolds [PDF]

Mathematics, 2020
In almost contact metric manifolds, we consider two kinds of submanifolds: pointwise slant, pointwise semi-slant. On these submanifolds of cosymplectic, Sasakian and Kenmotsu manifolds, we obtain characterizations and study their topological properties and distributions. We also give their examples. In particular, we obtain some inequalities consisting
openaire   +3 more sources