Results 51 to 60 of about 390 (190)
Nonnegatively curved totally real submanifolds
Mathematische Annalen, 1986 Let M be an n-dimensional nonnegatively curved compact totally real submanifold of an n-dimensional Kähler manifold \(\bar M\) with parallel mean curvature vector. The main purpose of this paper is to classify these submanifolds when \(\bar M\) is the complex Euclidean, projective or hyperbolic space.
openaire +1 more source
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
Bi-Slant Submanifolds of Para Hermitian Manifolds
Mathematics, 2019 In this paper, we introduce the notion of bi-slant submanifolds of a para Hermitian manifold. They naturally englobe CR, semi-slant, and hemi-slant submanifolds. We study their first properties and present a whole gallery of examples.
Pablo Alegre, Alfonso Carriazo
doaj +1 more source
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$\mathbb {C}
J. ‐P. Chassé, J. Hicks, Y. J. Nho
wiley +1 more source
Quaternion Statistical Submanifolds and Submersions
MathematicsThis paper aims to develop a general theory of quaternion Kahlerian statistical manifolds and to study quaternion CR-statistical submanifolds in such ambient manifolds.
Aliya Naaz Siddiqui, Fatimah Alghamdi
doaj +1 more source
Witten genera of complete intersections
Bulletin of the London Mathematical Society, Volume 58, Issue 2, February 2026.Abstract We prove vanishing results for Witten genera of string generalized complete intersections in homogeneous Spinc$\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
MathematicsIn this article, we study the Ricci soliton on quaternion bi-slant submanifolds of quaternion Kaehler manifolds. We obtain a lower-bound-type inequality in terms of expanding gradient Ricci solitons with a gradient-type vector field for the quaternion bi-
Ali H. Hakami, Mohd Danish Siddiqi
doaj +1 more source
Totally real submanifolds in a $6$-sphere.
Michigan Mathematical Journal, 1991 Consider the 6-dimensional Riemannian sphere \(S^ 6\) with constant curvature 1 endowed with the nearly Kähler structure induced from the Cayley divison algebra. Suppose that \(M\) is a 3-dimensional compact totally real submanifold of \(S^ 6\) and let \(k_ 0\) be the infimum of the sectional curvature of \(M\).
openaire +2 more sources
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
DDVV Inequality on Submanifolds Coupled with a Slant Factor in Quaternionic Kaehler Manifolds
AxiomsThis work aims to provide generalized Wintgen inequalities for slant submanifolds embedded in quaternionic space forms, taking into consideration both semi-symmetric metric and semi-symmetric non-metric connections.
Rawan Bossly +4 more
doaj +1 more source