Characterization of Bach and Cotton Tensors on a Class of Lorentzian Manifolds
Yanlin Li,
M. S. Siddesha,
H. Aruna Kumara
и другие.
Mathematics,
Год журнала:
2024,
Номер
12(19), С. 3130 - 3130
Опубликована: Окт. 7, 2024
In
this
work,
we
aim
to
investigate
the
characteristics
of
Bach
and
Cotton
tensors
on
Lorentzian
manifolds,
particularly
those
admitting
a
semi-symmetric
metric
ω-connection.
First,
prove
that
manifold
ω-connection
with
parallel
tensor
is
quasi-Einstein
flat.
Next,
show
any
Язык: Английский
Li-Yau type estimation of a semilinear parabolic system along geometric flow
Journal of Inequalities and Applications,
Год журнала:
2024,
Номер
2024(1)
Опубликована: Окт. 10, 2024
This
article
provides
a
Li–Yau-type
gradient
estimate
for
semilinear
weighted
parabolic
system
of
equations
along
an
abstract
geometric
flow
on
smooth
measure
space.
A
Harnack-type
inequality
the
is
also
derived
at
end.
Язык: Английский
A Conformal η-Ricci Soliton on a Four-Dimensional Lorentzian Para-Sasakian Manifold
Axioms,
Год журнала:
2024,
Номер
13(11), С. 753 - 753
Опубликована: Окт. 31, 2024
This
paper
focuses
on
some
geometrical
and
physical
properties
of
a
conformal
η-Ricci
soliton
(Cη-RS)
four-dimension
Lorentzian
Para-Sasakian
(LP-S)
manifold.
The
first
section
presents
an
introduction
to
Cη-RS
LP-S
manifolds,
followed
by
discussion
preliminary
ideas
about
the
LP-Sasakian
In
subsequent
sections,
we
establish
several
results
pertaining
manifolds
that
exhibit
Cη-RS.
Additionally,
consider
certain
conditions
associated
with
manifolds.
Besides
these
points
view,
this
in
perfect
fluid
spacetime
obtain
interesting
properties.
Finally,
present
case
study
Язык: Английский
Geometric visualization of evolved ruled surfaces via alternative frame in Lorentz-Minkowski 3-space
AIMS Mathematics,
Год журнала:
2024,
Номер
9(9), С. 25619 - 25635
Опубликована: Янв. 1, 2024
<p>The
main
goal
of
this
paper
is
to
investigate
the
evolution
equations
for
special
types
timelike
ruled
surfaces
with
significant
geometric
and
physical
applications
in
Lorentz-Minkowski
3-space
$
E_{1}^{3}
$.
Using
alternative
frame
associated
basic
curve
these
surfaces,
we
explored
their
key
properties.
Our
analysis
provided
insights
into
dynamics
local
curvatures
during
evolutions,
enhancing
understanding
surface
behavior.
Finally,
present
our
preliminary
findings
that
contribute
broader
field
differential
geometry.</p>
Язык: Английский
Euclidean hypersurfaces isometric to spheres
AIMS Mathematics,
Год журнала:
2024,
Номер
9(10), С. 28306 - 28319
Опубликована: Янв. 1, 2024
<p>Given
an
immersed
hypersurface
$
M^{n}
in
the
Euclidean
space
E^{n+1}
$,
tangential
component
$\boldsymbol{\omega
}$
of
position
vector
field
is
called
basic
field,
and
smooth
function
normal
gives
a
\sigma
on
support
hypersurface.
In
first
result,
we
show
that
complete
simply
connected
positive
Ricci
curvature
with
shape
operator
T
invariant
under
satisfies
static
perfect
fluid
equation
if
only
isometric
to
sphere.
second
compact
gradient
eigenvector
eigenvalue
mean
H
integral
squared
length
\nabla
has
certain
lower
bound,
giving
characterization
third
incompressible
}$,
sphere.</p>
Язык: Английский
Exact Solutions to Fractional Schrödinger–Hirota Equation Using Auxiliary Equation Method
Guangyuan Tian,
Xianji Meng
Axioms,
Год журнала:
2024,
Номер
13(10), С. 663 - 663
Опубликована: Сен. 26, 2024
In
this
paper,
we
consider
the
fractional
Schrödinger–Hirota
(FSH)
equation
in
sense
of
a
conformable
derivative.
Through
traveling
wave
transformation,
change
FSH
to
an
ordinary
differential
equation.
We
obtain
several
exact
solutions
through
auxiliary
method,
including
soliton,
exponential
and
periodic
solutions,
which
are
useful
analyze
behaviors
show
that
method
improves
speed
discovery
solutions.
Язык: Английский
On Sequential Warped Products Whose Manifold Admits Gradient Schouten Harmonic Solitons
Mathematics,
Год журнала:
2024,
Номер
12(16), С. 2451 - 2451
Опубликована: Авг. 7, 2024
As
part
of
our
study,
we
investigate
gradient
Schouten
harmonic
solutions
to
sequential
warped
product
manifolds.
The
main
contribution
work
is
an
explanation
how
it
possible
express
solitons
on
Our
analysis
covers
both
generalized
Robertson–Walker
spacetimes
and
static
using
solitons.
Studies
conducted
previously
can
be
from
this
study.
Язык: Английский
A DDVV Conjecture for Riemannian Maps
Symmetry,
Год журнала:
2024,
Номер
16(8), С. 1029 - 1029
Опубликована: Авг. 12, 2024
The
Wintgen
inequality
is
a
significant
result
in
the
field
of
differential
geometry,
specifically
related
to
study
submanifolds
Riemannian
manifolds.
It
was
discovered
by
Pierre
Wintgen.
In
present
work,
we
deal
with
maps
between
manifolds
that
serve
as
superb
method
for
comparing
geometric
structures
source
and
target
This
article
first
explore
well-known
conjecture,
called
DDVV
(a
conjecture
on
real
space
forms
proven
P.J.
De
Smet,
F.
Dillen,
L.
Verstraelen
Vrancken),
maps,
where
consider
different
There
are
numerous
research
problems
such
various
ambient
These
can
all
be
explored
within
general
framework
equipped
notable
structures.
Язык: Английский