Results 61 to 70 of about 147 (138)

Global eigenfamilies on closed manifolds

Journal of the London Mathematical Society, Volume 112, Issue 2, August 2025.
Abstract We study globally defined (λ,μ)$(\lambda,\mu)$‐eigenfamilies on closed Riemannian manifolds. Among others, we provide (non‐)existence results for such eigenfamilies, examine topological consequences of the existence of eigenfamilies and classify (λ,μ)$(\lambda,\mu)$‐eigenfamilies on flat tori. It is further shown that for f=f1+if2$f=f_1+i f_2$
Oskar Riedler, Anna Siffert
wiley   +1 more source

Birational complexity and dual complexes

Proceedings of the London Mathematical Society, Volume 131, Issue 2, August 2025.
Abstract We introduce the notion of birational complexity of a log Calabi–Yau pair. This invariant measures how far the log Calabi–Yau pair is from being birational to a toric pair. We study fundamental properties of the new invariant, with a particular focus on the geometry of dual complexes.
Mirko Mauri, Joaquín Moraga
wiley   +1 more source

CR$CR$ analysis via local uniform completion, a sharp maximum modulus principle and holomorphic extension

Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.
Abstract Using iterated uniform local completion, we introduce a notion of continuous CR$CR$ functions on locally closed subsets of reduced complex spaces, generalising both holomorphic functions and CR$CR$ functions on CR$CR$ submanifolds. Under additional assumptions of set‐theoretical weak pseudo‐concavity, we prove optimal maximum modulus ...
Mauro Nacinovich, Egmont Porten
wiley   +1 more source

The index and certain stability of minimal anti invariant submanifolds in Sasakian and Kähler Manifolds

Tsukuba Journal of Mathematics, 2001
The author derives a formula for the index form associated to the volume of a compact orientable minimal submanifold \(P\) of a Sasakian manifold \(M\), where the submanifold \(P\) is assumed to be orthogonal to the structure vector field of \(M\). Using this formula, stability questions are investigated.
openaire   +2 more sources

Invariant, anti invariant and slant submanifolds of locally poly-norden manifolds

Boletim da Sociedade Paranaense de Matemática
In this paper, we study locally almost 3-poly-Norden manifolds and prove several properties of the curvature tensor and Ricci tensor of these manifolds. We investigate invariant, anti-invariant and slant submanifolds of almost 3-poly-Norden manifolds from various views. We characterize these submanifolds and give non-trivial examples.
Masoumeh Tofighi, Mohammad Bagher Kazemi Balgeshir   +1 more
openaire   +1 more source

On certain anti-invariant submanifolds of an S-manifold

, 2018
In this paper, the geometry of certain anti-invariant submanifolds of an S-manifold, namely those which are normal to the structure vector fields, is studied.
Cabrerizo Jaraíz, José Luis, Fernández Fernández, Luis Manuel   +1 more
openaire   +2 more sources

Some solitons on anti-invariant submanifold of LP-Kenmotsu manifold admitting Zamkovoy connection

Journal of Hyperstructures
In this paper we prove some curvature properties of anti-invariant submanifold of Lorentzian para-Kenmotsu manifold (briefly, LP-Kenmotsu manifolds) with respect to Zamkovoy connection (∇∗). Next, we study Einstein soliton on anti-invariant submanifold of LP-Kenmotsu manifold with respect to Zamkovoy connection.
Mandal, Abhijit, Mallik, Meghlal
openaire   +2 more sources

Lagrangian Fibrations. [PDF]

Milan J Math, 2022
Huybrechts D, Mauri M.
europepmc   +1 more source

Conformal η-Ricci soltons on anti-invariant submanifold of LP-Kenmotsu manifold endowed with the Zamkovoy connection

Filomat
The object of the present paper is to study anti-invariant submanifolds of Lorentzian para-Kenmotsu manifold (briefly, LP-Kenmotsu manifold) with respect to the Zamkovoy connection. We prove that if an anti-invariant submanifold M of LP-Kenmotsu manifold contains a conformal Ricci soliton with collinear Reeb vector field, then M is η-Einstein.
Mandal, Abhijit, Yıldırım, Mustafa
openaire   +1 more source

Some Solitons on Anti-Invariant Submanifolds of Para-Sasakian Manifold Admitting Semi-Symmetric Non-Metric Connection

Symmetry
The objective of this study is to investigate ρ-Einstein solitons on submanifolds of a para-Sasakian manifold under certain curvature conditions. The novelty of this work lies in the characterization of ρ-Einstein solitons on anti-invariant submanifolds of a para-Sasakian manifold equipped with a semi-symmetric non-metric connection, where the ...
Abhijit Mandal, Mustafa Yıldırım, Adel Mohammed Ali Al-Qashbari, Mohammad Nazrul Islam Khan   +3 more
openaire   +1 more source