Results 71 to 80 of about 276,630 (212)
Recent Developments on the First Chen Inequality in Differential Geometry
Mathematics, 2023 One of the most fundamental interests in submanifold theory is to establish simple relationships between the main extrinsic invariants and the main intrinsic invariants of submanifolds and find their applications.
Bang-Yen Chen, Gabriel-Eduard Vîlcu
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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 +3 more
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On generic submanifold of Sasakian manifold with concurrent vector field
, 2019 In the present paper, we deal with the generic submanifold admitting a Ricci soliton in Sasakian manifold endowed with concurrent vector field. Here, we find that there exists never any concurrent vector field on the invariant distribution D of generic ...
Halil ibrahim Yoldaş +5 more
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Lifting semi-invariant submanifolds to distribution of almost contact metric manifolds
Дифференциальная геометрия многообразий фигур, 2020 Let M be an almost contact metric manifold of dimension n = 2m + 1. The distribution D of the manifold M admits a natural structure of a smooth manifold of dimension n = 4m + 1.
A. Bukusheva
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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
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Isometric Signal Processing under Information Geometric Framework
Entropy, 2019 Information geometry is the study of the intrinsic geometric properties of manifolds consisting of a probability distribution and provides a deeper understanding of statistical inference.
Hao Wu, Yongqiang Cheng, Hongqiang Wang
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Visibility and Intersection Density for Boolean Models in Hyperbolic Space
Mathematische Nachrichten, Volume 299, Issue 9, Page 2542-2565, September 2026.ABSTRACT For Poisson particle processes in hyperbolic space we introduce and study concepts analogous to the intersection density and the mean visible volume, which were originally considered in the analysis of Boolean models in Euclidean space. In particular, we determine a necessary and sufficient condition for the finiteness of the mean visible ...
Tillmann Bühler +2 more
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A basic inequality for submanifolds in a cosymplectic space form
International Journal of Mathematics and Mathematical Sciences, 2003 For submanifolds tangent to the structure vector field in cosymplectic space forms, we establish a basic inequality between the main intrinsic invariants of the submanifold, namely, its sectional curvature and scalar curvature on one side; and its main ...
Jeong-Sik Kim, Jaedong Choi
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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 +12 more
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Semi-invariant submanifolds of (g, F)-manifolds [PDF]
Surveys in Mathematics and its Applications, 2010 We introduce (g,F)-manifolds and initiate a study of their semi-invariant submanifolds. These submanifolds are generalizations of CR-submanifolds of Kaehler manifolds.
Novac-Claudiu Chiriac
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