Results 51 to 60 of about 95 (91)
Geometric Relational Framework for General‐Relativistic Gauge Field Theories
Fortschritte der Physik, Volume 73, Issue 1-2, February 2025.Abstract It is recalled how relationality arises as the core insight of general‐relativistic gauge field theories from the articulation of the generalized hole and point‐coincidence arguments. Hence, a compelling case for a manifestly relational framework ensues naturally.
Jordan T. François, Lucrezia Ravera
wiley +1 more source
Advances in High Energy Physics, Volume 2025, Issue 1, 2025.We obtain the off‐shell nilpotent Becchi–Rouet–Stora–Tyutin (BRST) and anti‐BRST symmetry transformations (corresponding to the infinitesimal classical gauge symmetry transformations) for the modified massive three (2 + 1)‐dimensional (3D) Abelian two‐form gauge theory with a single pseudoscalar field. The latter field (having the negative kinetic term
S. K. Panja +3 more
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Pinching results for bi-slant submanifolds in trans-Sasakian manifolds
FilomatIn the present article, we consider bi-slant submanifolds in trans-Sasakian generalized Sasakian space forms. Specifically, we establish both the Chen first inequality and the Chen-Ricci inequality on such submanifolds. We provide an example of bi-slant submanifold.
Fortuné Massamba +2 more
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B.Y. CHEN INEQUALITIES FOR BI-SLANT SUBMANIFOLDS IN SASAKIAN SPACE FORMS
Demonstratio Mathematica, 2003 Originally, B. Y. Chen's inequality gives a lower bound \(B(c,n,\tau,\| H\|)\) for the sectional curvature of an \(n\)-dimensional submanifold \(M\) of a space \(\widetilde M\) of constant curvature \(c\), where \(\tau\) and \(\| H\|\) are the scalar curvature and the length of the mean curvature normal of \(M\).
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A study of bi-slant lightlike submanifolds of PNsR-manifolds
FilomatThe aim of this paper is to define new class of slant submanifolds of poly-Norden semi-Riemannian manifolds (PNsR-manifolds) includes slant, semi-slant and CR-lightlike submanifolds as its subcases which called bi-slant submanifolds. We present necessary and sufficient conditions for the distri-butions included in the definition of such lightlike ...
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B. Y. Chen's inequalities for bi-slant submanifolds in cosymplectic space forms
Sarajevo Journal of Mathematics, 2013 In this paper we obtain B. Y. Chen's inequalities for a bi- slant submanifold M of a cosymplectic space form M (c), when the struc- ture vector field of the ambient space is tangent to M.
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Optimal casorati inequalities on bi-slant submanifolds of generalized sasakian space forms
Tamkang Journal of Mathematics, 2018 In this paper, we use T Oprea's optimization method to establish some optimal Casorati inequalities, which involve the normalized scalar curvature for bi-slant submanifolds of generalized Sasakian space forms. In the continuation, we show that in both cases, the equalities hold if and only if submanifolds are invariantly quasi-umbilical.
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Warped product pointwise bi-slant submanifolds of locally product Riemannian manifolds
Hacettepe Journal of Mathematics and StatisticsIn this paper we introduce the concept of pointwise bi-slant submanifolds of locally product Riemannian manifolds and studied warped product pointwise bi-slant submanifolds of locally product Riemannian manifolds. We obtain some characterization results for warped products pointwise bi-slant submanifolds.
Prınce Majeed, Mehraj Lone
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Pointwise bi-slant doubly warped product submanifolds in para-Kaehler manifolds
FilomatIn this article, we consider pointwise slant and pointwise bi-slant submanifolds whose ambient spaces are para-Kaehler manifolds. We prove that there exist pointwise bi-slant K =k2 K?1 ? k1 K?2 non-trivial doubly warped product type 1-2 submanifolds whose ambient spaces are para-Kaehler manifolds by constructing examples.
Sedat Ayaz, Yılmaz Gündüzalp
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Geometry of Warped Product Pointwise Bi-slant Submanifolds of Conformal Kenmotsu Manifolds
Turkish Journal of Mathematics and Computer ScienceIn this paper, we explore the concept of pointwise bi-slant submanifolds within conformal Kenmotsu manifolds. We obtain some results for warped product pointwise bi-slant submanifolds of conformal Kenmotsu manifolds. We establish the characterization theorem for warped product pointwise bi-slant submanifolds.
Mehraj Lone, Prınce Majeed
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