Results 1 to 10 of about 117,187 (297)
The Gauss Map and the Third Laplace-Beltrami Operator of the Rotational Hypersurface in 4-Space
Symmetry, 2018 We study and examine the rotational hypersurface and its Gauss map in Euclidean four-space E 4 . We calculate the Gauss map, the mean curvature and the Gaussian curvature of the rotational hypersurface and obtain some results.
Erhan Güler +2 more
doaj +2 more sources
The Du Bois complex of a hypersurface and the minimal exponent [PDF]
Duke mathematical journal, 2021 We study the Du Bois complex $\underline{\Omega}_Z^\bullet$ of a hypersurface $Z$ in a smooth complex algebraic variety in terms its minimal exponent $\widetilde{\alpha}(Z)$.
M. Mustaţă +3 more
semanticscholar +1 more source
Geometry of k-Yamabe Solitons on Euclidean Spaces and Its Applications to Concurrent Vector Fields
Symmetry, 2021 In this paper, we give some classifications of the k-Yamabe solitons on the hypersurfaces of the Euclidean spaces from the vector field point of view. In several results on k-Yamabe solitons with a concurrent vector field on submanifolds in Riemannian ...
Akram Ali +3 more
doaj +1 more source
Generalized Helical Hypersurface with Space-like Axis in Minkowski 5-Space
Universe, 2023 We introduce the generalized helical hypersurface having a space-like axis in five-dimensional Minkowski space. We compute the first and second fundamental form matrices, Gauss map, and shape operator matrix of the hypersurface.
Erhan Güler
doaj +1 more source
A note on η-quasi-umbilical hypersurfaces in almost Hermitian manifolds
Дифференциальная геометрия многообразий фигур, 2023 In the present note, we consider the introduced by Lidia Vasil’evna Stepanova notion of an -quasi-umbilical hypersurface in an almost Hermitian manifold.
M. B. Banaru
doaj +1 more source
Positive scalar curvature and minimal hypersurface singularities [PDF]
Surveys in Differential Geometry, 2017 In this paper we develop methods to extend the minimal hypersurface approach to positive scalar curvature problems to all dimensions. This includes a proof of the positive mass theorem in all dimensions without a spin assumption.
R. Schoen, S. Yau
semanticscholar +1 more source
Automated handling of complex chemical structures in Z‐matrix coordinates—The chemcoord library
Journal of Computational Chemistry, Volume 44, Issue 5, Page 710-726, February 15, 2023., 2023 We propose an algorithm for a chemically intuitive automatically generated Z‐matrix representation, including reliable back‐and‐forth transformation between coordinate spaces while properly handling linear dependencies. The usefulness of the method is showcased for molecule manipulation and initial guesses of reaction pathways.
Oskar Weser +2 more
wiley +1 more source
Realizing Wireless Communication Through Software-Defined HyperSurface Environments [PDF]
IEEE International Symposium on a World of Wireless, Mobile and Multimedia Networks, 2018 Wireless communication environments are unaware of the ongoing data exchange efforts within them. Moreover, their effect on the communication quality is intractable in all but the simplest cases.
C. Liaskos +5 more
semanticscholar +1 more source
Cohomology of moduli spaces of Del Pezzo surfaces
Mathematische Nachrichten, Volume 296, Issue 1, Page 80-101, January 2023., 2023 Abstract We compute the rational Betti cohomology groups of the coarse moduli spaces of geometrically marked Del Pezzo surfaces of degree 3 and 4 as representations of the Weyl groups of the corresponding root systems. The proof uses a blend of methods from point counting over finite fields and techniques from arrangement complements.
Olof Bergvall, Frank Gounelas
wiley +1 more source
Hodge ideals and spectrum of isolated hypersurface singularities [PDF]
Annales de l'Institut Fourier, 2019 We introduce Hodge ideal spectrum for isolated hypersurface singularities to see the difference between the Hodge ideals and the microlocal $V$-filtration modulo the Jacobian ideal.
Seung-Jo Jung +3 more
semanticscholar +1 more source