Results 51 to 60 of about 5,063,462 (161)
International Journal of Mathematics and Mathematical Sciences, 2001 Recent advances in CR (Cauchy-Riemann) geometry have raised interesting fine questions about the regularity of CR mappings between real analytic hypersurfaces.
Joël Merker
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The Legendrian Hopf link has exactly two Lagrangian fillings
Journal of Topology, Volume 19, Issue 4, December 2026.Abstract We prove that there are precisely two embedded exact Lagrangian fillings of the standard Legendrian Hopf link, up to compactly supported Hamiltonian isotopy. It was known that the standard Legendrian Hopf link admitted at least two such Lagrangian fillings: we show these are all.
Bryce Thomson
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A PLS‐CM and ASCA Procedure to Explore the Overlap of Two Classes
Journal of Chemometrics, Volume 40, Issue 11, November 2026.ABSTRACT Class‐modeling (CM) and discriminant analysis (DA) are commonly applied to binary classification. DA enforces exclusive assignments of unknowns by constructing optimal delimiters, which may convey unwarranted certainty. Conversely, CM defines two class regions in the predictor space (2‐class model), allowing individuals to be assigned to one ...
O. Valencia, M. C. Ortiz, L. A. Sarabia
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SOME CHARACTERIZATIONS OF THE HOMOGENEOUS RULED REAL HYPERSURFACE IN A COMPLEX HYPERBOLIC SPACE
, 2019 Motivated by the notion of ruled surfaces in Euclidean 3-space, we consider ruled real hypersurfaces isometrically immersed into an n-dimensional complex hyperbolic space of constant holomorphic sectional curvature c(< 0).
Maeda, Sadahiro
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Foliation of null cones by surfaces of constant spacetime mean curvature near MOTS
Journal of the London Mathematical Society, Volume 114, Issue 5, November 2026.Abstract Marginally outer trapped surfaces (MOTS) in spacetimes are well‐known to indicate the existence of black holes. Using flow techniques, we prove that a neighbourhood of a stable MOTS in a null cone may be foliated by hypersurfaces of constant spacetime mean curvature.
Ben Lambert, Julian Scheuer
wiley +1 more source
Extension of holomorphic functions from one side of a hypersurface
, 2005 We give a new proof of former results by G. Zampieri and the author on extension of holomorphic functions from one side of a real hypersurface M of Cn in the presence of an analytic disc tangent to M, attached to ̄ but not to M. Our method enables us
BARACCO, LUCA, Luca Baracco
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Torus hypersurface in 4-space [PDF]
, 2018 We consider torus hypersurface in the four dimensional Euclideanspace E4. We give some basic notions of E4, then we define rotational hypersur-face.
Güler, Erhan, Kişi, Ömer
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Good Real Perturbations of Simple Corank One Map Germs From R3$\mathbb {R}^3$ to R3$\mathbb {R}^3$
Mathematische Nachrichten, Volume 299, Issue 10, Page 2805-2835, October 2026.ABSTRACT The existence of good real perturbations of map germs is one of the most interesting open questions in singularity theory. In this paper, we investigate this question for all simple corank one map germs from R3$\mathbb {R}^3$ to R3$\mathbb {R}^3$, we give a complete description of those that admit a good real perturbation.
A. J. Miranda, M. J. Saia, T. O. Souza
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LAPLACE-BELTRAMI OPERATOR OF A HELICOIDAL HYPERSURFACE IN FOUR-SPACE [PDF]
, 2016 We introduce helicoidal hypersurface in the four dimensional Euclidean space. We calculate the mean and the Gaussian curvature, and some relations of the helicoidal hypersurface.
Guler, Erhan +2 more
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Topological and geometric rigidity of nonnegatively curved submanifolds
Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.Abstract We investigate the topology and geometry of compact submanifolds in space forms of nonnegative curvature satisfying a lower bound on the sectional curvature that depends only on the length of the mean curvature vector of the immersion. We show that this condition imposes strong constraints on either the topology or geometry of the submanifold.
Theodoros Vlachos
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