Results 71 to 80 of about 42,809 (195)
Natural Frobenius submanifolds [PDF]
Acta Mathematica Scientia, 2010 I.A.B. Strachan introduced the notion of a natural Frobenius submanifold of a Frobenius manifold and gave a sufficient but not necessary condition for a submanifold to be a natural Frobenius submanifold. This paper will give a necessary and sufficient condition and classify the natural Frobenius hypersurfaces.
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On virtual chirality of 3‐manifolds
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract We prove that if a prime 3‐manifold M$M$ is not finitely covered by the 3‐sphere or a product manifold, then M$M$ is virtually chiral, that is, it has a finite cover that does not admit an orientation‐reversing self‐homeomorphism. In general, if a 3‐manifold contains a virtually chiral prime summand, then it is virtually chiral.
Hongbin Sun, Zhongzi Wang
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Lightlike Submanifolds of Indefinite Sasakian Manifolds
International Journal of Mathematics and Mathematical Sciences, 2007 We first prove some results on invariant lightlike submanifolds of indefinite Sasakian manifolds. Then, we introduce a general notion of contact Cauchy-Riemann (CR) lightlike submanifolds and study the geometry of leaves of their distributions.
K. L. Duggal, B. Sahin
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Weakly reflective submanifolds and austere submanifolds
Journal of the Mathematical Society of Japan, 2009 30 ...
IKAWA, Osamu +2 more
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Certifying Anosov representations
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract By providing new finite criteria which certify that a finitely generated subgroup of SL(d,R)$\operatorname{SL}(d,\operatorname{\mathbb {R}})$ or SL(d,C)$\operatorname{SL}(d,\mathbb {C})$ is projective Anosov, we obtain a practical algorithm to verify the Anosov condition.
J. Maxwell Riestenberg
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A Miyaoka–Yau inequality for hyperplane arrangements in CPn$\mathbb {CP}^n$
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract Let H$\mathcal {H}$ be a hyperplane arrangement in CPn$\mathbb {CP}^n$. We define a quadratic form Q$Q$ on RH$\mathbb {R}^{\mathcal {H}}$ that is entirely determined by the intersection poset of H$\mathcal {H}$. Using the Bogomolov–Gieseker inequality for parabolic bundles, we show that if a∈RH$\mathbf {a}\in \mathbb {R}^{\mathcal {H}}$ is ...
Martin de Borbon, Dmitri Panov
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Warped product semi-slant submanifolds in locally conformal Kaehler manifolds
Pracì Mìžnarodnogo Geometričnogo Centru, 2017 In 1994, in [13], N. Papaghiuc introduced the notion of semi-slant submanifold in a Hermitian manifold which is a generalization of CR- and slant-submanifolds. In particular, he considered this submanifold in Kaehlerian manifolds, [13]. Then, in 2007, V.
Koji Matsumoto
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Unitarily invariant valuations on convex functions
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract Continuous, dually epi‐translation invariant valuations on the space of finite‐valued convex functions on Cn$\mathbb {C}^n$ that are invariant under the unitary group are investigated. It is shown that elements belonging to the dense subspace of smooth valuations admit a unique integral representation in terms of two families of Monge–Ampère ...
Jonas Knoerr
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Tangentially biharmonic Lagrangian H-umbilical submanifolds in complex space forms
, 2014 The notion of Lagrangian $H$-umbilical submanifolds was introduced by B. Y. Chen in 1997, and these submanifolds have appeared in several important problems in the study of Lagrangian submanifolds from the Riemannian geometric point of view.
Sasahara, Toru
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Failure of stability of a maximal operator bound for perturbed Nevo–Thangavelu means
Mathematika, Volume 72, Issue 2, April 2026.Abstract Let G$G$ be a two‐step nilpotent Lie group, identified via the exponential map with the Lie‐algebra g=g1⊕g2$\mathfrak {g}=\mathfrak {g}_1\oplus \mathfrak {g}_2$, where [g,g]⊂g2$[\mathfrak {g},\mathfrak {g}]\subset \mathfrak {g}_2$. We consider maximal functions associated to spheres in a d$d$‐dimensional linear subspace H$H$, dilated by the ...
Jaehyeon Ryu, Andreas Seeger
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