Results 91 to 100 of about 1,183 (218)
Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley +1 more source
Ricci and scalar curvatures of submanifolds of a conformal Sasakian space form [PDF]
summary:We introduce a conformal Sasakian manifold and we find the inequality involving Ricci curvature and the squared mean curvature for semi-invariant, almost semi-invariant, $\theta $-slant, invariant and anti-invariant submanifolds tangent to the ...
Abedi, Esmaeil +2 more
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Cohomology of semi-invariant submanifolds in metallic Riemannian manifolds
The main purpose of this paper is to investigate the cohomology of semi-invariant submanifolds in metallic Riemannian manifolds. We show that there exist well-defined canonical de Rham cohomology classes for such type of submanifolds under some necessary
Gok, Mustafa
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ABSTRACT We provide full details of a BV formulation of N=1$\mathcal N=1$ supergravity in 10 dimensions, to all orders in fermions, built from the generalised geometry description of the theory. In contrast to standard treatments, we introduce neither the degrees of freedom corresponding to orthonormal frames for the metric nor the local Lorentz ...
Julian Kupka +2 more
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Which singular tangent bundles are isomorphic?
Abstract Logarithmic and b$ b$‐tangent bundles provide a versatile framework for addressing singularities in geometry. Introduced by Deligne and Melrose, these modified bundles resolve singularities by reframing singular vector fields as well‐behaved sections of these singular bundles.
Eva Miranda, Pablo Nicolás
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ANTI-INVARIANT SUBMANIFOLDS OF A NORMAL PARACONTACT METRIC MANIFOLD
In this paper, anti-invariant submanifolds of a normal paracontact metric manifold are studied and characterizing the submanifold with respect to covariant derivative of the second fundamental form of anti-invariant sub-manifold.
Dirik S., Atçeken M., Yildirim Ü.
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Semi-invariant submanifolds of normal complex contact metric manifolds
In this paper, we study on semi-invariant submanifolds of normal complex contact metric manifolds. We give the definition of such submanifolds and we obtain useful relations.
ÜNAL, İNAN, VANLI, AYSEL
core
A Basic Inequality for the Tanaka-Webster Connection
For submanifolds tangent to the structure vector field in Sasakian space forms, we establish a Chen's basic inequality between the main intrinsic invariants of the submanifold (namely, its pseudosectional curvature and pseudosectional curvature on one ...
Dae Ho Jin, Jae Won Lee
doaj +1 more source
Invariant Submanifolds of Sasakian Generalized-Sasakian-Space-Forms
The object of this paper is to study the invariant submanifolds of Sasakian generalized-Sasakian-space-form. Here, we obtain some equivalent conditions for an invariant submanifold of a Sasakian generalized-Sasakian-space-forms to be totally geodesic ...
Prakasha, D. G. +3 more
core
Totally Umbilical Semi-Invariant Submanifolds in Locally Decomposable Metallic Riemannian Manifolds
In this paper, we obtain some classification theorems for totally umbilical semi-invariant submanifolds in locally decomposable metallic Riemannian manifolds.
Gok, Mustafa, Kilic, Erol
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