Para-Ricci-like Solitons with Vertical Potential on Para-Sasaki-like Riemannian Π-Manifolds by Hristo Manev

“…The objects of study are para-Ricci-like solitons on para-Sasaki-like, almost paracontact, almost paracomplex Riemannian manifolds, namely, Riemannian Π-manifolds. Different cases when the potential of the soliton is the Reeb vector field or pointwise collinear to it are considered. …”
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On Quasi Hemi-Slant Submersions by Sushil Kumar, Pramod Kumar Rawat

“…The paper deals with the notion of quasi hemi-slant submersions from Lorentzian para Sasakian manifolds onto Riemannian manifolds. These submersions are generalization of hemi-slant submersions and semi-slant submersions. …”
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Quasi bi-slant submersions in contact geometry by Rajendra Prasad, Mehmet Akif Akyol, Sushil Kumar, Punit Kumar Singh

“…The aim of the paper is to introduce the concept of quasi bi-slant submersions from almost contact metric manifolds onto Riemannian manifolds as a generalization of semi-slant and hemi-slant submersions. …”
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Estimation of eigenvalues for the α-Laplace operator on pseudo-slant submanifolds of generalized Sasakian space forms by Meraj Ali Khan, Ali H. Alkhaldi, Mohd. Aquib

“…In this study, we seek to establish new upper bounds for the mean curvature and constant sectional curvature of the first positive eigenvalue of the α-Laplacian operator on Riemannian manifolds. More precisely, various methods are used to determine the first eigenvalue for the α-Laplacian operator on the closed oriented pseudo-slant submanifolds in a generalized Sasakian space form. …”
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Conformal Quasi-Hemi-Slant Riemannian Maps by Şener Yanan

“…In this paper, we state some geometric properties of conformal quasi-hemi-slant Riemannian maps from almost Hermitian manifolds to Riemannian manifolds. We give necessary and sufficient conditions for certain distributions to be integrable and get examples. …”
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$ \phi $-pluriharmonicity in quasi bi-slant conformal $ \xi^\perp $-submersions: a comprehensive study by Ibrahim Al-Dayel, Mohammad Shuaib, Sharief Deshmukh, Tanveer Fatima

“…This paper delves into quasi bi-slant conformal $ \xi^{\perp} $-submersions from Sasakian manifolds onto Riemannian manifolds, which is a generalization of quasi hemi-slant conformal submersions. …”
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V-Quasi-Bi-Slant Riemannian Maps by Sushil Kumar, Mohd Bilal, Rajendra Prasad, Abdul Haseeb, Zhizhi Chen

“…In this work, we define a v-quasi-bi-slant Riemannian map (in brief, v-QBSR map) from almost Hermitian manifolds to Riemannian manifolds. This notion generalizes both a v-hemi slant Riemannian map and a v-semi slant Riemannian map. …”
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Projections of model spaces for latent graph inference by Posner, H, Arroyo, A, Sáez De Ocáriz Borde, H

“…In this work we employ stereographic projections of the hyperbolic and spherical model spaces, as well as products of Riemannian manifolds, for the purpose of latent graph inference. …”

A note on starshaped sets in 2-dimensional manifolds without conjugate points by Kilicman, Adem, Saleh, Wedad

“…Let W n be C ∞ complete, simply connected n-dimensional Riemannian manifolds without conjugate points. Assume that n=2 and S⊂W 2 is starshaped where ker S≠S. …”
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Manifold Calculus in System Theory and Control—Second Order Structures and Systems by Simone Fiori

“…Such key concepts are then applied to the formulation, to the control, and to the analysis of non-linear dynamical systems whose state-space are smooth (Riemannian) manifolds. The main flow of exposition is enriched by a number of examples whose aim is to clarify the notation used and the main theoretical findings through practical calculations.…”
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Affine Differential Geometric Control Tools for Statistical Manifolds by Iulia-Elena Hirica, Cristina-Liliana Pripoae, Gabriel-Teodor Pripoae, Vasile Preda

“…Links with the deformation algebras and with the Riemannian Rinehart algebras are established. The semi-Riemannian manifolds admitting flat dual connections with torsion are characterized, thus solving a problem suggested in 2000 by S. …”
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On <i>h</i>-Quasi-Hemi-Slant Riemannian Maps by Mohd Bilal, Sushil Kumar, Rajendra Prasad, Abdul Haseeb, Sumeet Kumar

“…In the present article, we indroduce and study <i>h</i>-quasi-hemi-slant (in short, <i>h</i>-qhs) Riemannian maps and almost <i>h</i>-qhs Riemannian maps from almost quaternionic Hermitian manifolds to Riemannian manifolds. We investigate some fundamental results mainly on <i>h</i>-qhs Riemannian maps: the integrability of distributions, geometry of foliations, the condition for such maps to be totally geodesic, etc. …”
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Conformal geometry of Riemannian submanifolds Gauss, Codazzi and Ricci equations by L. ORNEA, G. ROMANI

“…Let f : (N,g) → (N, g¯) be a conformal immersion of Riemannian manifolds. We establish a relation between the Weyl tensor of N and the Weyl tensor of the restriction to N of the curvature tensor of N. …”
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On determining and breaking the gauge class in inverse problems for reaction-diffusion equations by Yavar Kian, Tony Liimatainen, Yi-Hsuan Lin

“…We determine, under additional assumptions, the semilinear term up to this symmetry in a time-dependent anisotropic case modeled on Riemannian manifolds, and for partial data measurements on ${\mathbb R}^n$ .…”
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Regularity Theory for 2-Dimensional Almost Minimal Currents II: Branched Center Manifold by De Lellis, Camillo, Spadaro, Emanuele, Spolaor, Luca

“…Our construction is the first half of an argument which shows the discreteness of the singular set for the following three classes of 2-dimensional currents: area minimizing in Riemannian manifolds, semicalibrated and spherical cross sections of 3-dimensional area minimizing cones. …”
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Regularity Theory for 2-Dimensional Almost Minimal Currents II: Branched Center Manifold by De Lellis, Camillo, Spadaro, Emanuele, Spolaor, Luca

“…Our construction is the first half of an argument which shows the discreteness of the singular set for the following three classes of 2-dimensional currents: area minimizing in Riemannian manifolds, semicalibrated and spherical cross sections of 3-dimensional area minimizing cones. …”
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Comparison Theorems on Weighted Finsler Manifolds and Spacetimes with ϵ-Range by Lu Yufeng, Minguzzi Ettore, Ohta Shin-ichi

“…Some of our results are new even for weighted Riemannian manifolds and generalize comparison theorems of Wylie–Yeroshkin and Kuwae–Li.…”
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Super warped products with a semi-symmetric non-metric connection by Tong Wu, Yong Wang

“…In this paper, we define a semi-symmetric non-metric connection on super Riemannian manifolds. And we compute the curvature tensor and the Ricci tensor of a semi-symmetric non-metric connection on super warped product spaces. …”
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Asymptotically Mean Value Harmonic Functions in Doubling Metric Measure Spaces by Adamowicz Tomasz, Kijowski Antoni, Soultanis Elefterios

“…We consider functions with an asymptotic mean value property, known to characterize harmonicity in Riemannian manifolds and in doubling metric measure spaces. …”
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Polynomial growth and asymptotic dimension by Papazoglou, P

“…As a corollary Riemannian manifolds of bounded geometry and polynomial growth strictly less than nk+1 have asymptotic dimension at most k. …”