Results 81 to 90 of about 64,208 (273)

On stability of Hermitian structures on 6-dimensional planar submanifolds of Cayley algebra

Дифференциальная геометрия многообразий фигур, 2021
We consider 6-dimensional planar submanifolds of Cayley algebra. As it is known, the so-called Brown — Gray three-fold vector cross prod­ucts induce almost Hermitian structures on such submanifolds. We select the case when the almost Hermitian structures
M.B. Banaru, G.A. Banaru
doaj   +1 more source

$V$-Minimal Submanifolds

, 2023
We introduce the notion of $V$-minimality, for $V$ a smooth vector field on a Riemannian manifold, a natural extension of the classical notion of minimality, and we prove several basic properties. One featured example is given for locally conformal Kaehler (l.c.K) manifolds.
openaire   +2 more sources

Obstructions to homotopy invariance of loop coproduct via parameterized fixed‐point theory

Journal of Topology, Volume 19, Issue 1, March 2026.
Abstract Given f:M→N$f:M \rightarrow N$ a homotopy equivalence of compact manifolds with boundary, we use a construction of Geoghegan and Nicas to define its Reidemeister trace [T]∈π1st(LN,N)$[T] \in \pi _1^{st}(\mathcal {L}N, N)$. We realize the Goresky–Hingston coproduct as a map of spectra, and show that the failure of f$f$ to entwine the spectral ...
Lea Kenigsberg, Noah Porcelli
wiley   +1 more source

Weak Nearly $\mathcal{S}$- and Weak Nearly $\mathcal{C}$-Manifolds

Mathematics
The recent interest in geometers in the f-structures of K. Yano is motivated by the study of the dynamics of contact foliations, as well as their applications in theoretical physics.
Vladimir Rovenski
doaj   +1 more source

Umbilicity of (Space-Like) Submanifolds of Pseudo-Riemannian Space Forms [PDF]

Journal of Sciences, Islamic Republic of Iran, 2009
We study umbilic (space-like) submanifolds of pseudo-Riemannian space forms, then define totally semi-umbilic space-like submanifold of pseudo Euclidean space and relate this notion to umbilicity.
S.M.B. Kashani
doaj  

How Far Are Two Symmetric Matrices From Commuting? With an Application to Object Characterisation and Identification in Metal Detection

Mathematical Methods in the Applied Sciences, Volume 49, Issue 3, Page 1914-1942, February 2026.
ABSTRACT Examining the extent to which measurements of rotation matrices are close to each other is challenging due measurement noise. To overcome this, data is typically smoothed, and the Riemannian and Euclidean metrics are applied. However, if rotation matrices are not directly measured and are instead formed by eigenvectors of measured symmetric ...
P. D. Ledger, W. R. B. Lionheart, J. Elgy   +2 more
wiley   +1 more source

Compactness of Hamiltonian stationary Lagrangian submanifolds in symplectic manifolds [PDF]

, 2022
Jingyi Chen, John Man Shun Ma
openalex   +1 more source

Natural Frobenius submanifolds [PDF]

Acta Mathematica Scientia, 2010
I.A.B. Strachan introduced the notion of a natural Frobenius submanifold of a Frobenius manifold and gave a sufficient but not necessary condition for a submanifold to be a natural Frobenius submanifold. This paper will give a necessary and sufficient condition and classify the natural Frobenius hypersurfaces.
openaire   +2 more sources

Reverse isoperimetric inequalities for Lagrangian intersection Floer theory

Bulletin of the London Mathematical Society, Volume 58, Issue 2, February 2026.
Abstract We extend Groman and Solomon's reverse isoperimetric inequality to pseudoholomorphic curves with punctures at the boundary and whose boundary components lie in a collection of Lagrangian submanifolds with intersections locally modelled on Rn∩(Rk×−1Rn−k)$\mathbb {R}^n\cap (\mathbb {R}^{k}\times \sqrt {-1}\mathbb {R}^{n-k})$ inside Cn$\mathbb {C}
J. ‐P. Chassé, J. Hicks, Y. J. Nho
wiley   +1 more source

Weakly reflective submanifolds and austere submanifolds

Journal of the Mathematical Society of Japan, 2009
30 ...
IKAWA, Osamu, SAKAI, Takashi, TASAKI, Hiroyuki   +2 more
openaire   +4 more sources