Beyond the Hodge theorem: Curl and asymmetric pseudodifferential projections
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We develop a new approach to the study of spectral asymmetry. Working with the operator curl:=∗d$\operatorname{curl}:={*}\mathrm{d}$ on a connected oriented closed Riemannian 3‐manifold, we construct, by means of microlocal analysis, the asymmetry operator — a scalar pseudodifferential operator of order −3$-3$.
Matteo Capoferri, Dmitri Vassiliev
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Some classifications of \infty-Harmonic maps between Riemannian manifolds [PDF]
, 2007 Ze-Ping Wang, Ye‐Lin Ou
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International Journal of Mathematics and Mathematical Sciences, 2002 We prove that a Riemannian foliation with the flat normal connection on a Riemannian manifold is harmonic if and only if the geodesic flow on the normal bundle preserves the Riemannian volume form of the canonical metric defined by the adapted connection.
Hobum Kim
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Conformal quasi-hemi-slant $\xi^{\perp}$-Riemannian submersions from Sasakian manifolds [PDF]
Mathematica BohemicaWe introduce some geometric properties of a horizontally conformal quasi-hemi-slant Riemannian submersion from a Sasakian manifold, normal to the characteristic vector field, supported by an example.
Fortuné Massamba, Pontsho Moile
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Anti-invariant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds
Filomat, 2015 We introduce anti-invariant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds. We survey main results of anti-invariant Riemannian submersions defined on cosymplectic manifolds. We investigate necessary and sufficient condition for an anti-invariant Riemannian submersion to be totally geodesic and harmonic.
MURATHAN, CENGİZHAN, Erken, Irem Kupeli
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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
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Warped product skew semi-invariant submanifolds of order 1 of a locally product Riemannian manifold [PDF]
, 2014 Hakan Mete Taştan
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Benjamini-Schramm Convergence of Normalized Characteristic Numbers of Riemannian Manifolds [PDF]
, 2020 Daniel Luckhardt
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Correction to “Reconstructing Curves from Sparse Samples on Riemannian Manifolds”
Computer Graphics Forum, EarlyView.
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Min-max minimal disks with free boundary in Riemannian manifolds [PDF]
, 2020 Longzhi Lin, Ao Sun, Xin Zhou
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