Results 41 to 50 of about 174 (139)
Invariant, anti-invariant and slant submanifolds of a metallic Riemannian manifold
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Blaga, Adara M., Hretcanu, Cristina E.
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Flag Domains: A First Example of Cycle Duality
Results on cycles in flag domains are introduced in the context of a first interesting example, namely the flag domains of SU(2, 1) in flag manifolds of its complexification SL3(C).
Faten Abu Shoga, Shikha Binwal
wiley +1 more source
On Some Types of Slant Submanifolds on Poly‐Norden Riemannian Manifolds
The goal of this paper is to study some types of slant submanifolds such as bislant submanifolds and quasi‐bislant submanifolds of poly‐Norden Riemannian manifolds. We obtain integrability conditions for the involved distribution in such submanifolds. Also, we obtain nontrivial examples on these types of submanifolds.
M. Aykut Akgün, Smritijit Sen
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Comments on the RG‐Flow in Open String Field Theory
Abstract We define a metric G$G$ on the KBc‐subalgebra modulo gauge and describe the worldsheet RG‐flow as the gradient flow of the action of cubic open string field theory, where the flow lines are kink‐solitons. In particular, for a constant tachyon the gradient flow equations are equivalent to the RG‐equations. Additionally, a more general family of
Julius Hristov
wiley +1 more source
Holomorphic field theories and higher algebra
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
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Global and microlocal aspects of Dirac operators: Propagators and Hadamard states
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
Global eigenfamilies on closed manifolds
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
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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.
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Invariant, anti invariant and slant submanifolds of locally poly-norden manifolds
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 +1 more
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On certain anti-invariant submanifolds of an S-manifold
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 +1 more
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