Results 71 to 80 of about 214,617 (202)

Totally Contact Umbilical Radical Transversal Lightlike Submanifolds Of An Almost Contact Manifold With B-Metric [PDF]

, 2017
In the present paper, we study the geometry of totally contact umbilical radical transversal lightlike submanifolds and totally contact umbilical CR- submanifold of an indenite Sasaki-like almost contact manifold with B-metric.
Nagaich, R. K., Devgan, Anu
core   +1 more source

Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs

Communications on Pure and Applied Mathematics, Volume 79, Issue 4, Page 1012-1072, April 2026.
Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley   +1 more source

Burgers’ Equations in the Riemannian Geometry Associated with First-Order Differential Equations

Advances in Mathematical Physics, 2018
We construct metric connection associated with a first-order differential equation by means of the generator set of a Pfaffian system on a submanifold of an appropriate first-order jet bundle.
Z. Ok Bayrakdar, T. Bayrakdar
doaj   +1 more source

Totally geodesic discs in bounded symmetric domains

, 2022
In this paper, we characterize C2-smooth totally geodesic isometric embeddings f: Ω → Ω ′ between bounded symmetric domains Ω and Ω ′ which extend C1-smoothly over some open subset in the Shilov boundaries and have nontrivial normal derivatives on it. In
Seo, Aeryeong, Sung-Yeon Kim
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Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the String‐Theoretical Swampland Programme

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley   +1 more source

On Surfaces of Exceptional Lorentzian Lie Groups with a Four-Dimensional Isometry Group

Mathematics
In total, geodesic surfaces and their generalizations, namely totally umbilical and parallel surfaces, are well-known topics in Submanifold Theory and have been intensively studied in three-dimensional ambient spaces, both Riemannian and Lorentzian.
Giovanni Calvaruso, Lorenzo Pellegrino
doaj   +1 more source

Tessellation Groups, Harmonic Analysis on Non‐Compact Symmetric Spaces and the Heat Kernel in View of Cartan Convolutional Neural networks

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré, Federico Milanesio, Marcelo Oyarzo, Matteo Santoro, Mario Trigiante   +4 more
wiley   +1 more source

On totally geodesic invariant submanifolds of an S-manifold [PDF]

, 1988
In [1] Blair, O.E.: 1970, J. Diff. Geom. 4, (155-167), S-manifolds, which reduce in a special case to Sasakian manifolds, we redefined. In this note, a condition for an invariant submanifold of codimension greater than 2 in a n S-manifold to be totally ...
Fernández Fernández, Luis Manuel
core   +2 more sources

Hopf fibrations and totally geodesic submanifolds

Journal of the European Mathematical Society
We classify totally geodesic submanifolds in Hopf–Berger spheres, which constitute a special family of homogeneous spaces diffeomorphic to spheres constructed via Hopf fibrations. As a byproduct of our investigations, we have discovered very intriguing examples of totally geodesic submanifolds: totally geodesic submanifolds isometric to real projective
Carlos Enrique Olmos, Alberto Rodríguez-Vázquez   +1 more
openaire   +2 more sources

Holonomy and submanifold geometry [PDF]

, 2002
We survey applications of holonomic methods to the study of submanifold geometry, showing the consequences of some sort of extrinsic version of de Rham decomposition and Berger's Theorem, the so-called Normal Holonomy Theorem.
CONSOLE S, Console, S., Olmos, C., Di Scala, Antonio Jose', OLMOS C.   +4 more
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