Results 91 to 100 of about 1,183 (218)

Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.
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]

open access: yes, 2016
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
core   +1 more source

Cohomology of semi-invariant submanifolds in metallic Riemannian manifolds

open access: yes, 2022
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
core   +1 more source

Geometry of Supergravity and the Batalin–Vilkovisky Formulation of the N=1$\mathcal N=1$ Theory in Ten Dimensions

open access: yesFortschritte der Physik, Volume 74, Issue 5, May 2026.
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
wiley   +1 more source

Which singular tangent bundles are isomorphic?

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
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
wiley   +1 more source

ANTI-INVARIANT SUBMANIFOLDS OF A NORMAL PARACONTACT METRIC MANIFOLD

open access: yes, 2021
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.
core   +1 more source

Semi-invariant submanifolds of normal complex contact metric manifolds

open access: yes, 2022
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

open access: yesJournal of Applied Mathematics, 2012
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

open access: yes, 2022
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

open access: yes, 2022
In this paper, we obtain some classification theorems for totally umbilical semi-invariant submanifolds in locally decomposable metallic Riemannian manifolds.
Gok, Mustafa, Kilic, Erol
core   +1 more source

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