Results 51 to 60 of about 8,284 (304)

Geometrical Analysis on Submanifolds in Riemannian Manifolds Attached with Silver Structure

Axioms
In this paper, we analyze a silver Riemannian structure on a Riemannian manifold. We compute some fundamental properties of the induced structure on submanifolds immersed in a silver Riemannian manifold and also obtain some results for induced structures
Shadab Ahmad Khan, Fatemah Mofarreh, Toukeer Khan, Mohd Danish Siddiqi, Anis Ahmad   +4 more
doaj   +1 more source

Totally umbilical submanifolds in irreducible symmetric spaces [PDF]

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1982
AbstractA submanifold of a Riemannian manifold is called a totally umbilical submanifold if its first and second fundamental forms are proportional. In this paper we prove the following best possible result.
Chen, Bang-Yen, Verheyen, Paul
openaire   +2 more sources

Microfluidic Platform for Multiparametric Profiling of Fibrin Permeability, Fibrinolysis, and Cell Invasion

Advanced Functional Materials, EarlyView.
This paper introduces a single‐channel H‐junction microfluidic assay that profiles fibrin's evolving function in repair and thrombosis by measuring, in one ∼3 µL gel, permeability, fibrinolysis kinetics, fibroblast invasion, and clot extension in real time.
Halston Deal, Elizabeth M. Byrnes, Sanika Pandit, Halle J. Cantor, Muskan Aslam, Stacy Ban, Megan Palmisano, Rosemary Bayless, Ashley C. Brown, Michael Daniele   +9 more
wiley   +1 more source

Coagulative Granular Hydrogels with an Enzyme Catalyzed Fibrin Network for Endogenous Tissue Regeneration

Advanced Healthcare Materials, EarlyView.
Coagulative granular hydrogels are composed of packed thrombin‐functionalized microgels that catalyze the conversion of fibrinogen into a secondary fibrin network, filling the interstitial voids. This bio‐inspired approach stabilizes the biomaterial to match the robustness of bulk hydrogels without compromising injectability, mimicking the initial ...
Zhipeng Deng, Camila B. Tovani, Simona Bianco, Gianni Comandini, Aya Elghajiji, Mina Aleemardani, Roxana Moscalu, Jeremie Zappia, Bianca Fernandes, Olivia Annett, Chrissy L. Hammond, Jason Wong, Dave J. Adams, Fabrizio Scarpa, Michael R. Whitehouse, Annela M. Seddon, James P. K. Armstrong   +16 more
wiley   +1 more source

Spacelike submanifolds with parallel mean curvature vector in a de Sitter space S q n + p ( c ) $S^{n+p}_{q}(c)$

Journal of Inequalities and Applications, 2020
Spacelike submanifolds usually appear in the study of questions related to causality in general relativity. In this paper, we study an n-dimensional spacelike submanifold in ( n + p ) $(n + p)$ -dimensional connected de Sitter space S q n + p ( c ) $S^{n+
Junfeng Chen, Sanyang Liu, Shichang Shu
doaj   +1 more source

Bioprinting Organs—Science or Fiction?—A Review From Students to Students

Advanced Healthcare Materials, EarlyView.
Bioprinting artificial organs has the potential to revolutionize the medical field. This is a comprehensive review of the bioprinting workflow delving into the latest advancements in bioinks, materials and bioprinting techniques, exploring the critical stages of tissue maturation and functionality.
Nicoletta Murenu, Camilla Mussoni, Mateo S. Andrade Mier, Paula Buettner, Nathaly Chicaiza‐Cabezas, Yi‐Yu Robin Dai, Jessica Faber, Maren Fiedler, Zan Lamberger, Xuen Jen Ng, Vanessa Moessler, Anna Rederer, Jonas Roeder, Sabrina Stecher, Katinka Theis, Jeanette Weigelt, Silvia Budday, Gregor Lang, Natascha Schaefer   +18 more
wiley   +1 more source

Totally Umbilical Hypersurfaces of Lorentzian Reducible Spaces

The Journal of Geometric Analysis
Abstract We investigate totally umbilical hypersurfaces in Lorentzian reducible spaces, focusing on their classification and geometric properties. We explore conditions for the existence of proper totally umbilical hypersurfaces in a $$(n+1)$$ (
Calvaruso G., Pellegrino L.
openaire   +1 more source

TOTALLY UMBILICAL CR-SUBMANIFOLDS OF A KAEHLER MANIFOLD

Tamkang Journal of Mathematics, 1993
In the present paper we study totally umbilical CR-submanifolds of a Kaehler manifold. A classification theorem for a $D^\perp$-totally umbilical CR-submanifold is proved. The conditions under which a CR- submanifold becomes a CR-product are obtained, and finally a theorem for a CR-submanifold to be a proper CR-product is also ...
Khursheed Haider, S. M., Khan, V. A., Husain, S. I.   +2 more
openaire   +3 more sources

Bioengineered Lymphatic Vessels in Synthetic Matrices to Study Breast Cancer Cell Functions

Advanced Healthcare Materials, EarlyView.
Lymphatic vessels are involved in cancer metastasis. To study the interplay between metastasizing cancer cells and lymphatic vessels under highly reproducible conditions, advanced in vitro models are required. In this work, 3D lymphatic networks are formed in biomimetic hydrogels and their interactions with invasive and non‐invasive cancer cell‐lines ...
Rodi Odabasi, Lisa A. Krattiger, Magdalini Kanari, Mira A. Jacobs, Lukas O. Moser, Mark W. Tibbitt, Cornelia Halin, Martin Ehrbar   +7 more
wiley   +1 more source

Isotropic Lagrangian Submanifolds in Complex Space Forms [PDF]

Journal of Sciences, Islamic Republic of Iran, 2012
In this paper we study isotropic Lagrangian submanifolds , in complex space forms . It is shown that they are either totally geodesic or minimal in the complex projective space , if . When , they are either totally geodesic or minimal in .
M.B. Kashani
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