Results 51 to 60 of about 29,252 (258)
Characterization of Lagrangian Submanifolds by Geometric Inequalities in Complex Space Forms
Advances in Mathematical Physics, 2021 In this paper, we give an estimate of the first eigenvalue of the Laplace operator on a Lagrangian submanifold Mn minimally immersed in a complex space form.
Lamia Saeed Alqahtani
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Conformal submanifolds, distinguished submanifolds, and integrability
, 2023 For conformal geometries of Riemannian signature, we provide a comprehensive and explicit treatment of the core local theory for embedded submanifolds of arbitrary dimension. This is based in the conformal tractor calculus and includes a conformally invariant Gauss formula leading to conformal versions of the Gauss, Codazzi, and Ricci equations.
Curry, Sean. N +2 more
openaire +2 more sources
Entropy rigidity for cusped Hitchin representations
Journal of Topology, Volume 19, Issue 1, March 2026.Abstract We establish an entropy rigidity theorem for Hitchin representations of geometrically finite Fuchsian groups which generalizes a theorem of Potrie and Sambarino for Hitchin representations of closed surface groups. In the process, we introduce the class of (1,1,2)‐hypertransverse groups and show for such a group that the Hausdorff dimension of
Richard Canary +2 more
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Pointwise Hemislant Submanifolds in a Complex Space Form
Journal of Mathematics, 2023 In this paper, pointwise hemislant submanifolds were introduced in a Kahler manifold. The integrability conditions for the distributions which are involved in the definition of a pointwise hemislant submanifold were investigated.
Noura Alhouiti
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 3, Page 1914-1942, February 2026.ABSTRACT Examining the extent to which measurements of rotation matrices are close to each other is challenging due measurement noise. To overcome this, data is typically smoothed, and the Riemannian and Euclidean metrics are applied. However, if rotation matrices are not directly measured and are instead formed by eigenvectors of measured symmetric ...
P. D. Ledger +2 more
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On Curvature Pinching for Submanifolds with Parallel Normalized Mean Curvature Vector
MathematicsIn this note, we investigate the pinching problem for oriented compact submanifolds of dimension n with parallel normalized mean curvature vector in a space form Fn+p(c).
Juanru Gu, Yao Lu
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On six-dimensional AH-submanifolds of class W1⊕W2⊕W4 in Cayley algebra
Дифференциальная геометрия многообразий фигур, 2020 Six-dimensional submanifolds of Cayley algebra equipped with an almost Hermitian structure of class W1 W2 W4 defined by means of three-fold vector cross products are considered.
G. A. Banaru
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Generalized Wintgen Inequality for Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature [PDF]
, 2022 Aliya Naaz Sıddıquı +2 more
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Splitting the difference: Computations of the Reynolds operator in classical invariant theory
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract If G$G$ is a linearly reductive group acting rationally on a polynomial ring S$S$, then the inclusion SG↪S$S^{G} \hookrightarrow S$ possesses a unique G$G$‐equivariant splitting, called the Reynolds operator. We describe algorithms for computing the Reynolds operator for the classical actions as in Weyl's book.
Aryaman Maithani
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A Codimension Two CR Singular Submanifold That Is Formally Equivalent to a Symmetric Quadric [PDF]
, 2008 Let () be a real analytic submanifold defined by an equation of the form: w=| z| 2 + O(| z| 3 ), where we use for the coordinates of . We first derive a pseudonormal form for M near 0.
Xiaojun Huang, W. Yin
semanticscholar +1 more source