Found 207 Documents (Results 1–100)

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Explicit solving of the system of natural PDEs of minimal Lorentz surfaces in $$\mathbb{R}_2^4$$. (English)Zbl 07472975

MSC:  53A35 53A10 53C42
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Hypersurfaces in pseudo-Euclidean space with condition $$\Delta\mathbf{H}=\lambda\mathbf{H}$$. (English)Zbl 1472.53017

MSC:  53A35 53B25 53C42
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Canonical coordinates and natural equations for minimal time-like surfaces in $$\mathbf{R}^4_2$$. (English)Zbl 1455.53085

MSC:  53C42 53A10 53B30
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On cohomogeneity one linear actions on pseudo-Euclidean space $$\mathbb{R}^{p , q}$$. (English)Zbl 1472.57035

MSC:  57S20 53C30
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Rigidity of complete spacelike translating solitons in pseudo-Euclidean space. (English)Zbl 1421.35184

MSC:  35J93 35K93 53A10
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Minimal Lorentz surfaces in pseudo-Euclidean 4-space with neutral metric. (English)Zbl 1416.53011

MSC:  53A35 53B30 53B25
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On the classification of ruled minimal surfaces in pseudo-Euclidean space. (English)Zbl 1412.53016

MSC:  53A10 53B30
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Virtual immersions and a characterization of symmetric spaces. (English)Zbl 1412.53076

MSC:  53C35 53C42 53A07
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Minimal submanifolds and related topics. 2nd edition. (English)Zbl 1411.53004

Nankai Tracts in Mathematics 16. Hackensack, NJ: World Scientific (ISBN 978-981-3236-05-9/hbk; 978-981-3236-07-3/ebook). xvi, 380 p. (2019).
MSC:  53-02 53C42 53C50
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Relativistic mechanics of constant curvature. (Ukrainian, English)Zbl 1438.83005

MSC:  83E05 70H40
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On the geometric singularities of surfaces of pseudo-Euclidean space. (English)Zbl 1464.53013

MSC:  53A35 58K20
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MSC:  51F99
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General rotational surfaces in pseudo-Euclidean 4-space with neutral metric. (English)Zbl 1406.53012

MSC:  53B25 53B30 53A35
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Meridian surfaces with parallel normalized mean curvature vector field in pseudo-Euclidean 4-space with neutral metric. (English)Zbl 1397.53017

MSC:  53A35 53B30 53B25
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MSC:  47A16
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On the dynamics of stationary shift processes with Cantor structure. (English. Russian original)Zbl 1381.37019

Sib. Math. J. 58, No. 5, 752-764 (2017); translation from Sib. Mat. Zh. 58, No. 5, 972-988 (2017).
MSC:  37B10 28A78 60G10
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On biconservative Lorentz hypersurface with non-diagonalizable shape operator. (English)Zbl 1376.53080

MSC:  53C42 53A35 53B25
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Lorentz hypersurfaces satisfying $$\triangle \vec {H}= \alpha \vec {H}$$ with non diagonal shape operator. (English)Zbl 1373.53076

MSC:  53C40 53D12 53C42
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Grassmann image of non-isotropic surface of pseudo-Euclidean space. (English. Russian original)Zbl 1371.53055

Russ. Math. 61, No. 2, 55-63 (2017); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2017, No. 2, 65-75 (2017).
MSC:  53C40 53C50
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Meridian surfaces with constant mean curvature in pseudo-Euclidean 4-space with neutral metric. (English)Zbl 1369.53013

MSC:  53A35 53B30 53B25
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Classification of rectifying space-like submanifolds in pseudo-Euclidean spaces. (English)Zbl 1442.53008

MSC:  53A35 53C40 53A07
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Hypersurfaces in $$\mathbb{E}_s^{n + 1}$$ satisfying $$\operatorname{\Delta} \overrightarrow{H} = \lambda \overrightarrow{H}$$ with at most two distinct principal curvatures. (English)Zbl 1360.53065

MSC:  53C42 53B30 53A35
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A classification of biconservative hypersurfaces in a pseudo-Euclidean space. (English)Zbl 1345.53011

MSC:  53A35 53B30
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Quasi-minimal Lorentz surfaces with pointwise 1-type Gauss map in pseudo-Euclidean 4-space. (English)Zbl 1341.53040

MSC:  53B25 53B30 53A35
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Lorentz hypersurfaces in $$\mathbb{E}_1^{n + 1}$$ satisfying $${\Delta} \overrightarrow{H} = \lambda \overrightarrow{H}$$ with at most three distinct principal curvatures. (English)Zbl 1331.53024

MSC:  53A35 53B25 58J50
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General rotational surfaces with pointwise 1-type Gauss map in pseudo-Euclidean space $$\mathrm E_2^4$$. (English)Zbl 1335.53021

MSC:  53B25 53B30
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Classification of factorable surfaces in the pseudo-Galilean space. (English)Zbl 1333.53020

MSC:  53A35 53B30
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Biharmonic Lorentz hypersurfaces with three distinct principal curvatures in $$\mathbb E^5_1$$. (Chinese. English summary)Zbl 1340.53101

MSC:  53C50 53C42 53A35
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Singular orbits in cohomogeneity one pseudo-Euclidean space $$\mathbb R^4_\nu$$. (English)Zbl 1317.53071

MSC:  53C30 57S25 53C50
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Rational Bézier formulas with quaternion and Clifford algebra weights. (English)Zbl 1331.65039

Dokken, Tor (ed.) et al., SAGA – Advances in ShApes, geometry, and algebra. Results from the Marie Curie initial training network, March 2008 – October 2012. Cham: Springer (ISBN 978-3-319-08634-7/hbk; 978-3-319-08635-4/ebook). Geometry and Computing 10, 147-166 (2014).
MSC:  65D17 15A66 15B33
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Generic global rigidity in complex and pseudo-Euclidean spaces. (English)Zbl 1320.52022

Connelly, Robert (ed.) et al., Rigidity and symmetry. Toronto: The Fields Institute for Research in the Mathematical Sciences; New York, NY: Springer (ISBN 978-1-4939-0780-9/hbk; 978-1-4939-0781-6/ebook). Fields Institute Communications 70, 131-154 (2014).
MSC:  52C25 51M10 05C62
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Biharmonic hypersurfaces with at most two distinct principal curvatures in $$\mathbb E^{n+1}_s$$. (English)Zbl 1324.53010

MSC:  53A35 53C40 53C42
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A Clifford bundle approach to the differential geometry of branes. (English)Zbl 1320.53066

MSC:  53C40 81T30
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Quasi-minimal rotational surfaces in pseudo-Euclidean four-dimensional space. (English)Zbl 1296.53033

MSC:  53A35 53B25
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Hypersurfaces in $$\mathbb E_s^{n+1}$$ satisfying $$\Delta\overrightarrow H=\lambda\overrightarrow H$$ with at most three distinct principal curvatures. (English)Zbl 1296.53126

MSC:  53C42 53B30 35P30
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On pseudoconformal models of fibrations determined by the algebra of antiquaternions and projectivization of them. (English)Zbl 1299.53042

MSC:  53B20 53B30 53C21
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Biharmonic submanifolds with parallel mean curvature vector in pseudo-Euclidean spaces. (English)Zbl 1284.53018

MSC:  53B25 53C43 53B30
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Hypersurfaces of type $$M^3_2$$ in $$E^4_2$$ with proper mean curvature vector. (English)Zbl 1255.53014

MSC:  53B25 53B30
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Convex function on pseudo-Grassmann manifold and its applications for Bernstein-type theorem. (English)Zbl 1252.53061

MSC:  53C30 53C42 53C50
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Classification of minimal Lorentz surfaces in indefinite space forms with arbitrary codimension and arbitrary index. (English)Zbl 1274.53078

MSC:  53C40 53C50
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MSC:  53C42
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MSC:  53C44
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Some fixed point theorems in fuzzy $$n$$-normed spaces. (English)Zbl 1223.54055

MSC:  54H25 54A40

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Classification of Lorentzian surfaces with parallel mean curvature vector in pseudo-Euclidean spaces. (English)Zbl 1196.53015

MSC:  53B25 53C42 53B30
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Addendum to “classification of marginally trapped Lorentzian flat surfaces in $$\mathbb E_2^4$$ and its application to biharmonic surfaces”. (English)Zbl 1179.53021

MSC:  53B30 53B25
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On the geometry of submanifolds in $$E^n_{2n}$$. (English)Zbl 1216.53017

MSC:  53A35 53B25 53B30

Submanifolds of Grassmann manifold of planes of the pseudo-Euclidean space. (Russian. English summary)Zbl 1199.53124

MSC:  53C40 53A07

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Classification of quasi-minimal surfaces with parallel mean curvature vector in pseudo-Euclidean 4-space $${\mathbb E}^4_2$$. (English)Zbl 1178.53049

MSC:  53C40 53A35
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On solutions of the Ricci curvature equation and the Einstein equation. (English)Zbl 1179.53023

MSC:  53B30 53B20
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MSC:  53A55
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MSC:  58A05

Frobenius manifolds as a special class of submanifolds in pseudo-Euclidean spaces. (English)Zbl 1155.53056

Buchstaber, V. M. (ed.) et al., Geometry, topology, and mathematical physics. S. P. Novikov’s seminar: 2006–2007. Selected papers of the seminar, Moscow, Russia, 2006–2007. Dedicated to S. P. Novikov on the occasion of his 70th birthday. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4674-2/hbk). Translations. Series 2. American Mathematical Society 224. Advances in the Mathematical Sciences 61, 213-146 (2008).
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Bernstein theorems for space-like graphs with parallel mean curvature and controlled growth. (English)Zbl 1147.53043

MSC:  53C40 58E20 53A35
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Classification of marginally trapped Lorentzian flat surfaces in $$\mathbb E^4_2$$ and its application to biharmonic surfaces. (English)Zbl 1160.53007

MSC:  53B30 53A35
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MSC:  53A55
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On the shape operator of the hypersurfaces $$M^3_2$$ of $$E^4_2$$. (English)Zbl 1159.53304

MSC:  53A35 53A07

Biharmonic Lorentz hypersurfaces in $$E^4_1$$. (English)Zbl 1153.53011

MSC:  53A35 53C42 53B30
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Some curvature functions and their arithmetic properties. (English)Zbl 1144.53008

MSC:  53A04 53B20

Theory of submanifolds, associativity equations in 2D topological quantum field theories, and Frobenius manifolds. (English. Russian original)Zbl 1134.81405

Theor. Math. Phys. 152, No. 2, 1183-1190 (2007); translation from Teor. Mat. Fiz. 152, No. 2, 368-376 (2007).
MSC:  81T45 53D45 81R12
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Formalization of the “twin paradox” for non-uniformly accelerated motions. (English)Zbl 1128.83300

MSC:  83A05 83C10 11R52
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Bending fluctuations of an elastic line on a curved surface in $$\mathbb R_1^3$$. (English)Zbl 1129.53012

MSC:  53B30 53A35 74B99
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Space-time trigonometry and formalization of the “twin paradox” for uniform and accelerated motions. (English)Zbl 1111.83001

MSC:  83A05 83C10
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On embedding of Grassman manifold of pseudo Euclidean space. (Russian)Zbl 1199.53118

MSC:  53C40 53A07

The first eigenvalue of space-like submanifold in pseudo-Euclidean space. (Chinese. English summary)Zbl 1099.53016

MSC:  53B25 53B30

Translation surfaces with zero mean curvature in $$(2+p$$)-dimensional pseudo-Euclidean space $$E_2^{2+p}$$ or $$E_p^{2+p}$$. (English)Zbl 1094.53004

MSC:  53A05 53C42

Classification of pairs of natural quadrics from the point of view of Laguerre geometry. (English. Russian original)Zbl 1083.53019

Lith. Math. J. 45, No. 1, 50-65 (2005); translation from Liet. Mat. Rink. 45, No. 1, 64-83 (2005).
MSC:  53A40 53B30 53A30
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Submanifolds of moderate dimension in pseudo-Euclidean Rashevsky space. (English)Zbl 1105.53013

MSC:  53B25 53B30

On the relaxed elastic line on pseudo-hypersurfaces in pseudo-Euclidean spaces. (English)Zbl 1073.53031

MSC:  53B30 53A35
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Types of isotropic continuous differentiable vector fields of pseudo-Euclidean space. (Ukrainian. English summary)Zbl 1069.53015

MSC:  53A40 53B30

Minimal submanifolds and related topics. (English)Zbl 1055.53047

Nankai Tracts in Mathematics 8. River Edge, NJ: World Scientific (ISBN 981-238-687-4). viii, 262 p. (2003).

Liouville’s theorem in a pseudo-conformal space. (English)Zbl 1026.30020

Reviewer: A.Neagu (Iasi)
MSC:  30C65
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Degenerate curves in pseudo-Euclidean spaces of index two. (English)Zbl 1020.53005

Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 3rd international conference on geometry, integrability and quantization, Varna, Bulgaria, June 14-23, 2001. Sofia: Coral Press Scientific Publishing. 209-223 (2002).
MSC:  53A35 53A04

Totally geodesic subsets in the manifold of directions of physical space. (English. Russian original)Zbl 1071.53536

J. Math. Sci., New York 119, No. 1, 71-77 (2004); translation from Zap. Nauchn. Semin. POMI 279, 141-153 (2001).
MSC:  53C50 53A40
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Some aspects of the global geometry of entire space-like submanifolds. (English)Zbl 0998.53036

Reviewer: K.Ogiue (Tokyo)
MSC:  53C40 58E20
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Minimal curves of neutral space. (Ukrainian)Zbl 0989.53008

MSC:  53A40 53A45

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Parallel and semiparallel space-like surfaces in pseudo-Euclidean spaces. (English)Zbl 1010.53017

MSC:  53B25 53B30

Conformal metrics and Ricci tensors in the pseudo-Euclidean space. (English)Zbl 0978.53080

MSC:  53C21 53C50 53C20
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MSC:  53A35

Nonlinear d’Alambert equation in the pseudo-Euclidean space $$\mathbb R_{2,n}$$ and its solutions. (English. Ukrainian original)Zbl 0984.35040

Ukr. Math. J. 52, No. 6, 940-949 (2000); translation from Ukr. Mat. Zh. 52, No. 6, 820-827 (2000).
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A rigidity theorem for a space-like graph of higher codimension. (English)Zbl 0989.53026

MSC:  53C24 53C40 53C43
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Pseudo-Euclidean spaces in models of synthetic differential geometry. (Russian. English summary)Zbl 0933.51010

Guts, A. K. (ed.), Mathematical structures and modelling. Vol. 2. Collection of scientific works. Omsk: Omskij Gosudarstvennyj Universitet. 34-38 (1998).
MSC:  51K10

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