Results 61 to 70 of about 998 (174)

Holomorphic field theories and higher algebra

Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.
Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley   +1 more source

Semi-invariant submanifolds of (g, F)-manifolds [PDF]

, 2010
We introduce (g,F)-manifolds and initiate a study of their semi-invariant submanifolds. These submanifolds are generalizations of CR-submanifolds of Kaehler manifolds.
Novac-Claudiu Chiriac
core  

Global and microlocal aspects of Dirac operators: Propagators and Hadamard states

Mathematische Nachrichten, Volume 298, Issue 9, Page 2942-2974, September 2025.
Abstract We propose a geometric approach to construct the Cauchy evolution operator for the Lorentzian Dirac operator on Cauchy‐compact globally hyperbolic 4‐manifolds. We realize the Cauchy evolution operator as the sum of two invariantly defined oscillatory integrals—the positive and negative Dirac propagators—global in space and in time, with ...
Matteo Capoferri, Simone Murro
wiley   +1 more source

Invariant submanifolds of generalized Sasakian-space-forms

, 2018
This paper deals with the study of invariant submanifolds of generalized Sasakian-space-forms with respect to Levi-Civita connection as well as semi-symmetric metric connection.
Siraj Uddin, Pradip Mandal, Shyamal Kumar Hui, ALi H. Alkhaldi   +3 more
core   +1 more source

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

ON SEMI-INVARIANT SUBMANIFOLDS OF ALMOST COMPLEX CONTACT METRIC MANIFOLDS [PDF]

, 2017
In this article we study semi-invariant submanifolds of almost complexcontact metric manifolds.We defined semi-invariant submanifolds of almostcomplex contact metric manifold and we have investigated semi-invariantsubmanifolds of almost complex contact ...
Yıldırım, Cumali, Erdoğan, Feyza Esra   +1 more
core  

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

ON SOME CLASSES OF INVARIANT SUBMANIFOLDS OF LORENTZIAN PARA-SASAKIAN MANIFOLDS

, 2017
The object of the present paper is to study invariant submanifolds of Lorenzian Para-Sasakian manifolds. We consider the recurrent and bi-recurrent invariant submanifolds of Lorentzian para-Sasakian manifolds and pseudo-parallel and generalized Ricci ...
Samui, Srimayee;De, Uday Chand
core   +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

Viscoelasticity, logarithmic stresses, and tensorial transport equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 3, Page 2934-2953, February 2025.
We introduce models for viscoelastic materials, both solids and fluids, based on logarithmic stresses to capture the elastic contribution to the material response. The matrix logarithm allows to link the measures of strain, that naturally belong to a multiplicative group of linear transformations, to stresses, that are additive elements of a linear ...
Gennaro Ciampa, Giulio G. Giusteri, Alessio G. Soggiu   +2 more
wiley   +1 more source