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53C42 Immersions (minimal, prescribed curvature, tight, etc.) (59 articles)

• Barboza, Weiller F. C.; de Lima, Henrique F.; Velásquez, Marco A. L.: Revisiting linear Weingarten spacelike submanifolds immersed in a locally symmetric semi-Riemannian space. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 64 (2023), issue 1, pp. 39-61
• Velásquez, Marco Antonio Lázaro: A half-space type property in the Euclidean sphere. (English). Archivum Mathematicum, vol. 58 (2022), issue 1, pp. 49-63
• de Lima, Henrique Fernandes: A note on the nonexistence of spacelike hypersurfaces with polynomial volume growth immersed in a Lorentzian space form. (English). Archivum Mathematicum, vol. 58 (2022), issue 3, pp. 169-175
• Velásquez, Marco L. A.; Ramalho, André F. A.; de Lima, Henrique F.; Santos, Márcio S.; Oliveira, Arlandson M. S.: Conformal Killing graphs in foliated Riemannian spaces with density: rigidity and stability. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 62 (2021), issue 2, pp. 175-200
• Machado, Cid D. F.; Riveros, Carlos M. C.: Weingarten hypersurfaces of the spherical type in Euclidean spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 61 (2020), issue 2, pp. 213-236
• de Lima, Eudes L.; de Lima, Henrique F.; dos Santos, Fábio R.; Velásquez, Marco A. L.: Sharp eigenvalue estimates of closed $H$-hypersurfaces in locally symmetric spaces. (English). Czechoslovak Mathematical Journal, vol. 69 (2019), issue 4, pp. 969-981
• Chao, Xiaoli; Lv, Yusha: $L^p$ harmonic $1$-form on submanifold with weighted Poincaré inequality. (English). Czechoslovak Mathematical Journal, vol. 68 (2018), issue 1, pp. 195-217
• Roth, Julien: New stability results for spheres and Wulff shapes. (English). Communications in Mathematics, vol. 26 (2018), issue 2, pp. 153-167
• de Lima, Eudes L.; de Lima, Henrique F.; Lima, Eraldo A. Jr.; Medeiros, Adriano A.: Parabolicity and rigidity of spacelike hypersurfaces immersed in a Lorentzian Killing warped product. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 58 (2017), issue 2, pp. 183-196
• Nasehi, Mehri: Parallel and totally geodesic hypersurfaces of 5-dimensional 2-step homogeneous nilmanifolds. (English). Czechoslovak Mathematical Journal, vol. 66 (2016), issue 2, pp. 547-559
• Nasehi, Mehri: Parallel and totally geodesic hypersurfaces of solvable Lie groups. (English). Archivum Mathematicum, vol. 52 (2016), issue 4, pp. 221-231
• Aquino, Cícero P.; de Lima, Henrique F.: New characterizations of linear Weingarten hypersurfaces immersed in the hyperbolic space. (English). Archivum Mathematicum, vol. 51 (2015), issue 4, pp. 201-209
• Fotsing, Cyriaque Atindogbé and Hans Tetsing: Newton transformations on null hypersurfaces. (English). Communications in Mathematics, vol. 23 (2015), issue 1, pp. 57-83
• Aquino, Cícero P.; de Lima, Henrique F.; dos Santos, Fábio R.; Velásquez, Marco Antonio L.: On complete linear Weingarten hypersurfaces in locally symmetric Riemannian manifolds. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 56 (2015), issue 4, pp. 515-529
• Kowalski, Oldřich; Křížek, Michal; Pravda, Vojtěch: Nejsymetričtější variety. (Czech) [Maximally symmetric manifolds]. Pokroky matematiky, fyziky a astronomie, vol. 59 (2014), issue 2, pp. 135-145
• Sasahara, Toru: Ideal CR submanifolds in non-flat complex space forms. (English). Czechoslovak Mathematical Journal, vol. 64 (2014), issue 1, pp. 79-90
• Park, Kwang-Soon; Şahin, Bayram: Semi-slant Riemannian maps into almost Hermitian manifolds. (English). Czechoslovak Mathematical Journal, vol. 64 (2014), issue 4, pp. 1045-1061
• Wang, Yaning; Liu, Ximin: Compact space-like hypersurfaces with constant scalar curvature in locally symmetric Lorentz spaces. (English). Archivum Mathematicum, vol. 48 (2012), issue 3, pp. 163-172
• Verhóczki, László: Harmonic and Minimal Unit Vector Fields on the Symmetric Spaces $G_2$ and $G_2/SO(4)$. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 51 (2012), issue 1, pp. 101-109
• Han, Yingbo; Feng, Shuxiang: The first eigenvalue of spacelike submanifolds in indefinite space form $R^{n+p}_p$. (English). Archivum Mathematicum, vol. 47 (2011), issue 2, pp. 77-82
• de Lima, H. F.; Velásquez, M. A.: A new characterization of $r$-stable hypersurfaces in space forms. (English). Archivum Mathematicum, vol. 47 (2011), issue 2, pp. 119-131
• Han, Yingbo; Feng, Shuxiang; Yu, Liju: On complete spacelike hypersurfaces with $R=aH+b$ in locally symmetric Lorentz spaces. (English). Archivum Mathematicum, vol. 47 (2011), issue 2, pp. 151-161
• Shu, Shichang: Hypersurfaces with constant $k$-th mean curvature in a Lorentzian space form. (English). Archivum Mathematicum, vol. 46 (2010), issue 2, pp. 87-97
• Han, Yingbo: Spacelike submanifolds in indefinite space form $M^{n+p}_p(c)$. (English). Archivum Mathematicum, vol. 46 (2010), issue 2, pp. 79-86
• Wei, Guoxin; Liu, Qiuli; Suh, Young Jin: Integral formulas for closed spacelike hypersurfaces in anti-de Sitter space $H_1^{n+1}(-1)$. (English). Czechoslovak Mathematical Journal, vol. 59 (2009), issue 2, pp. 343-351
• Shu, Schi Chang: Complete spacelike hypersurfaces with constant scalar curvature. (English). Archivum Mathematicum, vol. 44 (2008), issue 2, pp. 105-114
• Munteanu, Marian-Ioan: Minimal submanifolds in $\mathbb{R}^4$ with a g.c.K. structure. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 1, pp. 61-78
• Petrović-Torgašev, Miroslava; Verstraelen, Leopold: On Deszcz symmetries of Wintgen ideal submanifolds. (English). Archivum Mathematicum, vol. 44 (2008), issue 1, pp. 57-67
• Handlovičová, Angela; Mikula, Karol: Stability and consistency of the semi-implicit co-volume scheme for regularized mean curvature flow equation in level set formulation. (English). Applications of Mathematics, vol. 53 (2008), issue 2, pp. 105-129
• Wang, Qiaoling; Xia, Changyu: Topological and metric rigidity teorems for hypersurfaces in a hyperbolic space. (English). Czechoslovak Mathematical Journal, vol. 57 (2007), issue 1, pp. 435-445
• Hadzhilazova, Mariana; Mladenov, Ivaïlo M.; Oprea, John: Unduloids and their geometry. (English). Archivum Mathematicum, vol. 43 (2007), issue 5, pp. 417-429
• Lê, Hông-Vân: Universal spaces for manifolds equipped with an integral closed $k$-form. (English). Archivum Mathematicum, vol. 43 (2007), issue 5, pp. 443-457
• Fastenakels, Johan: Ideal tubular hypersurfaces in real space forms. (English). Archivum Mathematicum, vol. 42 (2006), issue 3, pp. 295-305
• Liu, Ximin; Li, Hongxia: Complete hypersurfaces with constant scalar curvature in a sphere. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 46 (2005), issue 3, pp. 567-575
• Ye, Bing Wu: On the degeneration of harmonic sequences from surfaces into complex Grassmann manifolds. (English). Archivum Mathematicum, vol. 41 (2005), issue 3, pp. 273-280
• Chao, Xiaoli; Li, Yaowen: On totally real minimal submanifolds in complex projective space. (English). Archivum Mathematicum, vol. 41 (2005), issue 1, pp. 107-116
• Liu, Ximin; Junlei, Deng: Stable space-like hypersurfaces in the de Sitter space. (English). Archivum Mathematicum, vol. 40 (2004), issue 2, pp. 111-117
• Hájková, V.; Kowalski, O.; Sekizawa, M.: On three-dimensional hypersurfaces with type number two in $\Bbb H\sp 4$ and $\Bbb S\sp 4$ treated in intrinsic way. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 23rd Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2004. pp. [107]-126
• Lumiste, Ülo: Semiparallel isometric immersions of 3-dimensional semisymmetric Riemannian manifolds. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 3, pp. 707-734
• Lumiste, Ülo: Normally flat semiparallel submanifolds in space forms as immersed semisymmetric Riemannian manifolds. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 2, pp. 243-260
• Liu, Ximin: On Ricci curvature of totally real submanifolds in a quaternion projective space. (English). Archivum Mathematicum, vol. 38 (2002), issue 4, pp. 297-305
• Chen, Bang-Yen: Ricci curvature of real hypersurfaces in complex hyperbolic space. (English). Archivum Mathematicum, vol. 38 (2002), issue 1, pp. 73-80
• Ferrández, Angel; Lucas, Pascual: On the Gauss map of B-scrolls in $3$-dimensional Lorentzian space forms. (English). Czechoslovak Mathematical Journal, vol. 50 (2000), issue 4, pp. 699-704
• Ortega, Miguel; Pérez, Juan de Dios; Suh, Young Jin: Real hypersurfaces with constant totally real sectional curvature in a complex space form. (English). Czechoslovak Mathematical Journal, vol. 50 (2000), issue 3, pp. 531-537
• Gilkey, P. B.; Park, J. H.: The Bochner Laplacian, Riemannian submersions, heat content asymptotics, and heat equation asymptotics. (English). Czechoslovak Mathematical Journal, vol. 49 (1999), issue 2, pp. 233-240
• Gasparini, Ida Cattaneo: Geometric properties of a sequence of standard minimal immersions between spheres. (English). Czechoslovak Mathematical Journal, vol. 49 (1999), issue 2, pp. 401-414
• González-Dávila, J. C.; Vanhecke, L.: Locally symmetric immersions. (English). Czechoslovak Mathematical Journal, vol. 49 (1999), issue 3, pp. 491-506
• Gollek, Hubert: Deformations of minimal surfaces of $\bold R^3$ containing planar geodesics. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 18th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1999. pp. 143-153
• D‘Ambra, G.: Isometric immersions and induced geometric structures. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 18th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1999. pp. 13-23
• Kowalski, Oldřich; Vlášek, Zdeněk: On double-ruled hypersurfaces in $\bold R^4$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 2, pp. 407-411
• Friedrich, Thomas: On superminimal surfaces. (English). Archivum Mathematicum, vol. 33 (1997), issue 1, pp. 41-56
• Kenmotsu, K.: On Veronese-Borůvka spheres. (English). Archivum Mathematicum, vol. 33 (1997), issue 1, pp. 37-40
• González-Dávila, J. C.; González-Dávila, M. C.; Vanhecke, L.: Transversally symmetric immersions. (English). Mathematica Bohemica, vol. 122 (1997), issue 3, pp. 273-294
• Krupka, Michal: Orientability of higher order Grassmannians. (English). Mathematica Slovaca, vol. 44 (1994), issue 1, pp. 107-115
• Rotondaro, Giovanni: On total curvature of immersions and minimal submanifolds of spheres. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 34 (1993), issue 3, pp. 459-463
• Beltagy, M.: Sufficient conditions for convexity in manifolds without focal points. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 34 (1993), issue 3, pp. 443-449
• Švec, Alois: On the affine normal. (English). Czechoslovak Mathematical Journal, vol. 40 (1990), issue 2, pp. 332-342
• Švec, Alois: On Veronese surfaces. (English). Czechoslovak Mathematical Journal, vol. 38 (1988), issue 2, pp. 231-235,236
• Švec, Alois: On 3-dimensional CR-manifolds. (English). Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika, vol. 18 (1979), issue 1, pp. 135-144