Results 61 to 70 of about 187 (169)

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

Totally geodesic submanifolds in tangent bundle with g-natural metric [PDF]

International Journal of Geometric Methods in Modern Physics, 2014
In a tangent bundle endowed with g-natural metric G we investigate submanifolds defined by a vector field given on a base manifold. We give a sufficient condition for a vector field on M to define totally geodesic submanifold in (TM, G). The parallel vector field is discussed in more detail.
openaire   +3 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

On Surfaces of Exceptional Lorentzian Lie Groups with a Four-Dimensional Isometry Group

Mathematics
In total, geodesic surfaces and their generalizations, namely totally umbilical and parallel surfaces, are well-known topics in Submanifold Theory and have been intensively studied in three-dimensional ambient spaces, both Riemannian and Lorentzian.
Giovanni Calvaruso, Lorenzo Pellegrino
doaj   +1 more source

Witten genera of complete intersections

Bulletin of the London Mathematical Society, Volume 58, Issue 2, February 2026.
Abstract We prove vanishing results for Witten genera of string generalized complete intersections in homogeneous Spinc$\text{Spin}^c$‐manifolds and in other Spinc$\text{Spin}^c$‐manifolds with Lie group actions. By applying these results to Fano manifolds with second Betti number equal to one we get new evidence for a conjecture of Stolz.
Michael Wiemeler
wiley   +1 more source

Rigidity of anti‐de Sitter (2+1)‐spacetimes with convex boundary near the Fuchsian locus

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract We prove that globally hyperbolic compact anti‐de Sitter (2+1)‐spacetimes with a strictly convex spacelike boundary that is either smooth or polyhedral and whose holonomy is close to Fuchsian are determined by the induced metric on the boundary.
Roman Prosanov, Jean‐Marc Schlenker
wiley   +1 more source

Totally geodesic submanifolds of the complex quadric

Differential Geometry and its Applications, 2008
In this article, relations between the root space decomposition of a Riemannian symmetric space of compact type and the root space decompositions of its totally geodesic submanifolds (symmetric subspaces) are described. These relations provide an approach to the classification of totally geodesic submanifolds in Riemannian symmetric spaces. In this way
openaire   +2 more sources

The GJMS operators in geometry, analysis and physics

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract The GJMS operators, introduced by Graham, Jenne, Mason and Sparling, are a family of conformally invariant linear differential operators with leading term a power of the Laplacian. These operators and their method of construction have had a major impact in geometry, analysis and physics.
Jeffrey S. Case, A. Rod Gover
wiley   +1 more source

Minimal Maslov number of R-spaces canonically embedded in Einstein-Kähler C-spaces

Complex Manifolds, 2019
An R-space is a compact homogeneous space obtained as an orbit of the isotropy representation of a Riemannian symmetric space. It is known that each R-space has the canonical embedding into a Kähler C-space as a real form, and thus a compact embedded ...
Ohnita Yoshihiro
doaj   +1 more source

Uniqueness and non‐uniqueness for the asymptotic Plateau problem in hyperbolic space

Proceedings of the London Mathematical Society, Volume 132, Issue 1, January 2026.
Abstract We prove several results on the number of solutions to the asymptotic problem in H3$\mathbb {H}^3$. Firstly, we discuss criteria that ensure uniqueness. Given a Jordan curve Λ$\Lambda$ in the asymptotic boundary of H3$\mathbb {H}^3$, we show that uniqueness of the minimal surfaces with asymptotic boundary Λ$\Lambda$ is equivalent to uniqueness
Zheng Huang, Ben Lowe, Andrea Seppi
wiley   +1 more source